var sms = '<div id="sms_bulletin">  <div id="sms_header">  <div class="do_not_print" id="arrow_left"><a href="?next=-21"><img src="//www2.math.ethz.ch/smsjs/images/arrow_left.png"/></a></div><div class="do_not_print" id="arrow_right"><a href="?next=-19"><img src="//www2.math.ethz.ch/smsjs/images/arrow_right.png"/></a></div>    <div class="sms_title">      <span style="float: left;">SMS</span>      <span>SWISS MATHEMATICAL SOCIETY</span>      <span style="float: right;">SMG</span>    </div>    <div class="sms_info">      <span style="float: left; width: 250px;">Bulletin no. 12</span>      <span style="float: right; text-align:right; width: 250px;">2.12 - 6.12.2024</span>      <span style="text-align: center; display: block; width: 250px; margin: auto; position: relative;">Autumn Semester 2024</span>    </div>  </div>  <div></div>  <div id="sms_content">    <div class="day">      <div class="day_title">        Monday, December 2      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/symplectic-geometry-seminar">Symplectic Geometry Seminar</a></div><br /><div class="event_speaker">Prof. Dr. Yaron Ostrover</div><div class="event_title">Viterbo\'s Conjecture: Early Developments <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this series of talks, I will provide an overview of Viterbo\'s volume-capacity conjecture, a symplectic isoperimetric-type inequality concerning symplectic capacities of convex domains in the classical phase space. Specifically, in the first talk, we will explore Viterbo\'s conjecture from the perspective of asymptotic geometric analysis. The second talk will focus on Minkowski billiard dynamics, and the characteristic foliation on convex polytopes. Finally, in the third talk, we will present a counterexample to Viterbo\'s conjecture and discuss potential future research directions.These talks are based on joint work with S. Artstein-Avidan, P. Haim-Kislev, E. Gluskin, R. Karasev, and V. Milman.Zoom: https://ethz.zoom.us/j/64239710101</div><div class="event_time">09:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 19.2 + <a class="external" href="https://ethz.zoom.us/j/64239710101">Zoom Call</a></div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/fim/activities/nachdiplom-lectures">Nachdiplomvorlesung</a></div><br /><div class="event_speaker"> Tom Mrowka (Massachusetts Institute of Technology)</div><div class="event_title">Floer homology of three manifolds and applications to low dimensional topology <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Floer homology and the related invariants of 4-manifolds has given us deep insight in smooth differential topology in dimensions 3 and particularly 4. The theory has yielded insights like existence of exotic differentiable structures on 4 dimensional euclidean space, complex curves minimize genus in complex projective space, killing the Hauptvermuntung, there even appear to be connection to the 4 color map theorem. This course will build up Floer homology of three manifolds from scratch. The focus will be on Instanton Floer homology but we will mention other versions and develop applications as the course goes on.</div><div class="event_time">10:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://theory.epfl.ch/seminar/">Theory and Combinatorics Seminar</a></div><br /><div class="event_speaker"> Radu Vintan</div><div class="event_title">Deterministic Online Bipartite Edge Coloring <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We study online bipartite edge coloring, with nodes on one side of the graph revealed sequentially. The trivial greedy algorithm is ~2-competitive, which is optimal for graphs of low maximum degree, \\Delta=O(\\log n). If \\Delta = \\omega(\\log n), this is no longer true. In fact, numerous online edge-coloring algorithms outperforming the greedy algorithm in various settings were designed over the years, all crucially relying on randomization. A commonly-held belief is that randomization is necessary to outperform greedy.We refute this belief. We present a deterministic algorithm that beats greedy for sufficiently large \\Delta=\\Omega(\\log n), and in particular has competitive ratio ~e/(e-1) for all \\Delta=\\omega(\\log n).How do we achieve this?Well, one year ago, I gave a theory coffee talk showing a simple randomized algorithm which is (1+o(1))-competitive. This algorithm will be the starting point of my talk this year. Inspired by this previous idea, we design a slightly different randomized algorithm which works even against adaptive adversaries. Such adversaries are stronger than the oblivious adversaries which were considered in previous work. In particular, our algorithm can be derandomized, thus proving the existence of a similarly-competitive deterministic algorithm.At a technical level, we will encounter martingales, contention resolution schemes, concentration inequalities and some rather impressive union bounds. I hope this list convinces you to attend my talk.Based on joint work with Joakim Blikstad, Ola Svensson and David Wajc.</div><div class="event_time">11:00 &bull; EPF Lausanne, INJ114</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ba"><a class="external" href="https://unibas.ch">Universität Basel</a></div><div class="event_type"><a class="external" href="https://dmi.unibas.ch/de/studium/mathematik/doktorat/bernoullis-tafelrunde">Bernoullis Tafelrunde</a></div><br /><div class="event_speaker"> Maxim Amirkhanov (Basel)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/studium/mathematik/doktorat/bernoullis-tafelrunde/detail/bernoullis-tafelrunde-maxim-amirkhanov-basel/">Bernoulli Considers Central Simple Algebras and the Brauer Group</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />abstract Afterwards, we eat lunch together. If you want to join, please sign here in until 30th of October.</div><div class="event_time">12:15 &bull; Universität Basel, Seminarraum 05.002, Spiegelgasse 5</div>        </div>        <div class="day_content_item cancelled"><div class="event_location uni_zh"><a class="external" href="https://uzh.ch">Universit&auml;t Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/talks-in-mathematical-physics">Talks in Mathematical Physics</a></div><br /><div class="event_speaker"> Ezra Getzler (Northwestern University)</div><div class="event_title">CANCELLED: Title T.B.A. <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />tba</div><div class="event_time">13:30 &bull; UZH Irchel, Winterthurerstrasse 190, Z&uuml;rich, Building Y27, Room H 25</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/mpseminar/seminar.html">Séminaire de Mathématique Physique </a></div><br /><div class="event_speaker"> Lukas  Lüchtrath  (Berlin)</div><div class="event_title">Cluster sizes in subcritical soft Boolean models <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this talk, we consider the soft Boolean model, a model that interpolates between two standard models of percolation: the classical Boolean model (viewed as a graph) and long-range percolation. Specifically, the model incorporates a heavy-tailed degree distribution and long-range edges. We study the subcritical one-arm probability and determine its tail behaviour. To this end, we explain how a path connecting the origin to a far distance relies on an interplay between the heavy-tailed degrees and the long-range edges. Furthermore, we compare the result with the tail probability of the number of vertices in a typical cluster, which depends on the degree-distribution alone. The proofs rest on a fine path-counting method, which we present in greater detail. The talk is based on joint work with Benedikt Jahnel and Marcel Ortgiese.</div><div class="event_time">16:15 &bull; Université de Genève, Conseil Général 7-9, Room 1-15</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Tuesday, December 3      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/fim/activities/nachdiplom-lectures">Nachdiplomvorlesung</a></div><br /><div class="event_speaker"> Gigliola Staffilani (Massachusetts Institute of Technology)</div><div class="event_title">Dispersive equations and wave turbulence theory <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this course we will investigate questions of weak turbulence theory by using as explicit example of wave interactions the solutions to periodic and nonlinear Schrödinger equations. We will start with Strichartz estimates on periodic setting, then we will move to well-posedness.We will then present two different ways of introducing the evolution of the energy spectrum. We will first work on a method proposed by Bourgain and involving the growth of high Sobolev norms. Then, we will give some ideas of how to derive rigorously the effective dynamics of the energy spectrum itself (wave kinetic equation), when one considers weakly nonlinear dispersive equations.  </div><div class="event_time">10:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/annonces/groupes-geometrie">Groupes et Géométrie </a></div><br /><div class="event_speaker"> Jérémy  Blanc  (Université de Neuchâtel)</div><div class="event_title">Closed normal subgroups of the group of polynomial automorphisms <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The group of polynomial automorphisms of the affine plane has been studied a lot since decades. In 1942, Jung and van der Kulk proved that it is generated by affine automorphisms (linear maps and translations) and triangular automorphisms, which are automorphisms preserving one variable. It has moreover the structure of an amalgamated product over these two subgroups. The group is not simple as it contains the subgroup of automorphisms of Jacobian 1. This latter normal subgroup also contains some complicated normal subgroups, as proven by Danilov in 1974. The simplicity of this group, viewed as an infinite dimensional algebraic group, or equivalently the existence of closed normal subgroups was however often since Iskovskikh in 1966, which had produced an incomplete proof. I will give the answer to this question and explain the history and the details of the proofs.</div><div class="event_time">10:30 &bull; Université de Genève, Conseil Général 7-9, Room 1-05</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/symplectic-geometry-seminar">Symplectic Geometry Seminar</a></div><br /><div class="event_speaker">Prof. Dr. Yaron Ostrover</div><div class="event_title">Viterbo\'s Conjecture and Minkowski Billiards <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br /> In this series of talks, I will provide an overview of Viterbo\'s volume-capacity conjecture, a symplectic isoperimetric-type inequality concerning symplectic capacities of convex domains in the classical phase space. Specifically, in the first talk, we will explore Viterbo\'s conjecture from the perspective of asymptotic geometric analysis. The second talk will focus on Minkowski billiard dynamics, and the characteristic foliation on convex polytopes. Finally, in the third talk, we will present a counterexample to Viterbo\'s conjecture and discuss potential future research directions.These talks are based on joint work with S. Artstein-Avidan, P. Haim-Kislev, E. Gluskin, R. Karasev, and V. Milman.Zoom:  https://ethz.zoom.us/j/65744003648</div><div class="event_time">10:30 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 19.1 + <a class="external" href=" https://ethz.zoom.us/j/65744003648">Zoom Call</a></div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/annonces/seminaire-danalyse-numerique">Séminaire d\'Analyse Numérique </a></div><br /><div class="event_speaker"> Jonas Latt (Université de Genève)</div><div class="event_title">Challenges in Computational Fluid Dynamics: An Approach From Kinetic Theory  <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The presentation provides an introduction to computational fluid dynamics and to the main challenges addressed in scientific research and engineering. An emphasis is put on addressing complexity on the side of the physics (fluid turbulence, multi-physics flows) and on the side of high-performance computing (HPC) hardware, especially on the use of multi-GPU systems. The presentation then provides a modern perspective on an approach to CFD based on kinetic theory (resolution of the Boltzmann equations). It is shown that considerations regarding the numerical solver cannot be treated out-of-context, without accounting for the hardware constraints of the HPC systems.</div><div class="event_time">14:00 &bull; Université de Genève, Conseil Général 7-9, Room 1-05</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/annonces/groupes-geometrie">Groupes et Géométrie </a></div><br /><div class="event_speaker"> Jorge  Fariña Asategui   (University of Lund)</div><div class="event_title">Self-similar groups, dynamical systems and applications <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Iterated monodromy groups provide a strong link between self-similar groups and complex dynamics. In fact, iterated monodromy groups were used by Bartholdi and Nekrashevych to solve Hubbard’s question in complex dynamics on Thurston equivalence of certain topological polynomials.Our goal is to provide a different link between self-similar groups and dynamics. We consider self-similar profinite groups and regard them as probability spaces via their Haar measure and study when the natural action of the regular rooted tree on these probability spaces is measure-preserving. We further study ergodicity and mixing properties of the arising dynamical systems. This has different consequences and applications to both the structure of self-similar groups and to the study of measure-preserving dynamical systems. We shall discuss some of these applications as time permits.</div><div class="event_time">14:00 &bull; Université de Genève, Conseil Général 7-9, Room 6-13</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/daco-seminar">DACO Seminar</a></div><br /><div class="event_speaker">Prof. Dr. Michael Multerer (USI Lugano, CH)</div><div class="event_title">Samplets: Construction and applications to scattered data <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We introduce the concept of samplets, extending the Tausch-White multi-wavelet construction to scattered data. This results in a multiresolution analysis of discrete signed measures with vanishing moments, enabling efficient data compression, feature detection, and adaptivity. The cost for constructing the samplet basis and applying the fast samplet transform is linear in the number of data sites N. We apply samplets to compress kernel matrices for scattered data approximation, achieving sparse matrices with only O(N log N) non-zero entries in the case of quasi-uniform data. The approximation error is controlled by the number of vanishing moments. We demonstrate two applications: a multiscale interpolation scheme for improved conditioning of kernel matrices and a dictionary learning approach with sparsity constraints.</div><div class="event_time">14:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 19.1</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/seminaires/lie-sem/">Lie groups and moduli spaces </a></div><br /><div class="event_speaker"> Ilya  Losev  (Cambridge)</div><div class="event_title">Mini course: Probabilistic Schwarzian Field Theory <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Schwarzian Theory is a quantum field theory which has attracted a lot of attention in the physics literature in the context of two-dimensional quantum gravity, black holes and AdS/CFT correspondence. It is predicted to be universal and arise in many systems with emerging conformal symmetry, most notably in Sachdev--Ye--Kitaev random matrix model and Jackiw--Teitelboim gravity.In this talk we will discuss recent progress on developing rigorous probabilistic foundations of the Schwarzian Field Theory, including rigorous construction of the corresponding measure, calculation of both the partition function and a natural class of correlation functions, and a large deviation principle. </div><div class="event_time">15:00 &bull; Université de Genève, Conseil Général 7-9, Room 1-07</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/analysis-seminar">Analysis Seminar</a></div><br /><div class="event_speaker"> Michele Caselli (Scuola Normale Superiore Pisa)</div><div class="event_title">Nonlocal approximation of area in codimension two <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this talk, I will present a geometric (to say that it also works in the case of ambient Riemannian manifolds) notion of codimension-two fractional mass that Gamma-converges to the (n-2)-dimensional Hausdorff measure. I will also discuss possible extensions to higher codimension and applications to the construction of minimal surfaces in codimension two. The talk is based on a joint work with Mattia Freguglia and Nicola Picenni.</div><div class="event_time">15:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_fr"><a class="external" href="https://www.unifr.ch">Université de Fribourg</a></div><div class="event_type"><a class="external" href="https://sites.google.com/view/agms-fribourg-seminars/home">Seminar Analysis and geometry on metric spaces</a></div><br /><div class="event_speaker"> Elia Bubani (Uni Bern)</div><div class="event_title">The sub-Riemannian affine-additive group and two extremal quasiconfomal mappings <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The affine-additive group $\\mathcal{AA}$ is the Cartesian product of the real line and the hyperbolic half-plane, endowed with a natural group law. We consider $\\mathcal{AA}$ as a metric measure space with a canonical left-invariant measure and a left-invariant sub-Riemannian metric. Throughout the talk we shall briefly discuss the motivation behind why $\\mathcal{AA}$ is contactomorphic to the sub-Riemannian Heisenberg group $\\mathbb{H}$ and why the two spaces are not quasiconformally equivalent. We will subsequently move to the theory of extremal quasiconformal mappings of $\\mathcal{AA}$ for the mean quasiconformal distortion functional. We use a method based on the notion of modulus of a curve family and the minimal stretching property (MSP) of the candidate map. Eventually we will define linear and radial stretch maps in the affine-additive group, and prove their extremality.This is a joint work with Z.M. Balogh and I.D. Platis.</div><div class="event_time">15:15 &bull; Université de Fribourg, PER23 room 0.05</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://uzh.ch">Universit&auml;t Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://www.math.uzh.ch/mat075.1">Zurich Graduate Colloquium</a></div><br /><div class="event_speaker">Annika Weidmann (ETH)</div><div class="event_title">What is... a pseudo-finite field?</div><div class="event_time">16:30 &bull; UZH Zentrum, Building KO2, Room F 150</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_fr"><a class="external" href="https://www.unifr.ch">Université de Fribourg</a></div><div class="event_type"><a class="external" href="https://www.unifr.ch/math/de/info/kolloquium.html">Colloquium </a></div><br /><div class="event_speaker">Prof. Dr. Pierre Dehornoy (Institut de Mathématiques de Marseille, AMU)</div><div class="event_title">Celestial mechanics, 3-dimensional dynamics, and topological methods <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Understanding the motion of more than 2 planets evolving under the gravitational law is a long-standing problem in mechanics and mathematics. It lead to the discovery of deterministic chaos at the end of the 19th century. However, existence of chaos does not mean that nothing can be said about such systems. Restricting to situations where the system has 3 degrees of freedom, one can use tools coming from 3-dimensional topology, like knots and surfaces, in order to describe the dynamics. We will discuss some examples, in particular using the notions of open book and broken books.</div><div class="event_time">17:15 &bull; Université de Fribourg, room Phys 2.52</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Wednesday, December 4      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/seminaires/lie-sem/">Lie groups and moduli spaces </a></div><br /><div class="event_speaker"> Ilya  Losev (Cambridge)</div><div class="event_title">Mini course: Probabilistic Schwarzian Field Theory <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Schwarzian Theory is a quantum field theory which has attracted a lot of attention in the physics literature in the context of two-dimensional quantum gravity, black holes and AdS/CFT correspondence. It is predicted to be universal and arise in many systems with emerging conformal symmetry, most notably in Sachdev--Ye--Kitaev random matrix model and Jackiw--Teitelboim gravity.In this talk we will discuss recent progress on developing rigorous probabilistic foundations of the Schwarzian Field Theory, including rigorous construction of the corresponding measure, calculation of both the partition function and a natural class of correlation functions, and a large deviation principle.  </div><div class="event_time">10:00 &bull; Université de Genève, Conseil Général 7-9, Room 6-13</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://memento.epfl.ch/maths/">External FLAIR Seminar </a></div><br /><div class="event_speaker"> Esteban Real (Google DeepMind)</div><div class="event_title"> Automatically Discovering Learning Algorithms with Hardware Constraints <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Can learning emerge from a search process in-silico? Our AutoML-Zero work at Google DeepMind shows that a simple evolutionary search process can automatically discover modern learning techniques from scratch. Without knowledge of machine learning the method discovers algorithms by combining simple primitives such as additions and multiplications into a functional learning algorithm. In this type of evolutionary search learning emerges naturally when algorithm survival depends on its performance on multiple tasks. These discovery methods transfer to realistic setups where we can find novel algorithms for ML optimization and robot adaptation. Importantly we can meaningfully shape the properties of the discovered algorithm by constraining the environment on which the algorithm evolves. I will speculate that using hardware abstractions as such a constraint is a promising direction for finding new paradigms of neural computation.</div><div class="event_time">11:15 &bull; EPF Lausanne, GC C3 30</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/symplectic-geometry-seminar">Symplectic Geometry Seminar</a></div><br /><div class="event_speaker">Prof. Dr. Yaron Ostrover</div><div class="event_title">Viterbo\'s Conjecture: Recent Progress and Future Directions <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this series of talks, I will provide an overview of Viterbo\'s volume-capacity conjecture, a symplectic isoperimetric-type inequality concerning symplectic capacities of convex domains in the classical phase space. Specifically, in the first talk, we will explore Viterbo\'s conjecture from the perspective of asymptotic geometric analysis. The second talk will focus on Minkowski billiard dynamics, and the characteristic foliation on convex polytopes. Finally, in the third talk, we will present a counterexample to Viterbo\'s conjecture and discuss potential future research directions.These talks are based on joint work with S. Artstein-Avidan, P. Haim-Kislev, E. Gluskin, R. Karasev, and V. Milman.Zoom: https://ethz.zoom.us/j/68488661786</div><div class="event_time">13:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 19.1 + <a class="external" href="https://ethz.zoom.us/j/68488661786">Zoom Call</a></div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/algebraic-geometry-and-moduli-seminar">Algebraic Geometry and Moduli Seminar</a></div><br /><div class="event_speaker"> Jeremy Feusi (ETH Zürich)</div><div class="event_title">Complex abelian varieties and their moduli VIII <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Introduction to log abelian varieties</div><div class="event_time">13:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://uzh.ch">Universit&auml;t Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://www.math.uzh.ch/mat760">Ergodic theory and dynamical systems seminar</a></div><br /><div class="event_speaker">Prof. Dr. Jens Marklof (University of Bristol)</div><div class="event_title">The moduli space of twisted Laplacians and random matrix theory <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />One of the long-standing conjectures in quantum chaos is that the spectral statistics of quantum systems with chaotic classical limit are governed by random matrix theory. Despite convincing heuristics, there is currently not a single example where this phenomenon can be established rigorously. Rudnick recently proved that the spectral number variance for the Laplacian of a large compact hyperbolic surface converges, in a certain scaling limit and when averaged with respect to the Weil-Petersson measure on moduli space, to the number variance of the Gaussian Orthogonal Ensemble of random matrix theory. In this lecture we will review Rudnick&#039;s approach and extend it to explain the emergence of the Gaussian Unitary Ensemble for twisted Laplacians (which break time-reversal symmetry) and to the Gaussian Symplectic Ensemble for Dirac operators. This addresses a question of Naud, who obtained analogous results for twisted Laplacians on high genus random covers of a fixed compact surface. This lecture is based on joint work with Laura Monk (Bristol).</div><div class="event_time">13:30 &bull; UZH Irchel, Winterthurerstrasse 190, Z&uuml;rich, Building Y27, Room H 28</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/tggroup/doku.php?id=fables">Séminaire "Fables Géométriques" </a></div><br /><div class="event_speaker"> Marvin Hahn (Dublin)</div><div class="event_title">A tropical twist on Hurwitz numbers <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Hurwitz numbers count branched morphisms between Riemann surfaces withfixed numerical data. While a classical invariant, having beenintroduced in the 19th century, Hurwitz numbers are an active topic ofstudy, among others due to their interplay with Gromov-Witten theory andtheir role in mirror symmetry. In recent work of Chapuy and Do&#322;&#281;ga anon-orientable generalisation of Hurwitz numbers was introduced,so-called b-Hurwitz numbers. These invariants are a weighted enumerationof maps between non-orientable surfaces weighted by a power of aparameter b. This parameter should be viewed as measuring thenon-orientability of the involved covers. For b=0, one recoversclassical Hurwitz numbers, while b=1 represents a non-weighted count ofnon-orientable maps yielding so-called twisted Hurwitz numbers. In thistalk, we derive a combinatorial model of twisted Hurwitz numbers viatropical geometry and employ it to derive a wide array of new structuralproperties. This talk is based on joint work with Hannah Markwig.</div><div class="event_time">14:00 &bull; Université de Genève, Conseil Général 7-9, Room 6-13</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://www.epfl.ch/labs/hessbellwald-lab/seminar/epfl-topology-seminar-fall-2024/">Séminaire de Topologie </a></div><br /><div class="event_speaker"> Varun Sharma (CeMM - Research Center for Molecular Medicine of the Austrian Academy of Sciences)</div><div class="event_title"><a class="external" href="https://www.epfl.ch/labs/hessbellwald-lab/seminar/epfl-topology-seminar-fall-2024/">Multi Scale Generative Modeling of biology:  prior knowledge informed Neural Cellular Automata of tissue self-organization</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Biological systems exhibit emergent properties that arise from complex interactions across multiple organizational scales, from the molecular level to whole tissues. Understanding these emergent phenomena requires an exploration of the mapping between these different scales, and how lower-scale interactions can give rise to higher-order phenotypic structures. In this talk, I propose equipping Neural Cellular Automata (NCA) with prior knowledge of the single cell transcriptomic manifold state (by means of manifold learning) as an ideal framework for connecting these biological scales to model a specific self-organizing tissue phenotype. NCAs offer a mechanism for examining the dynamic evolution of state spaces across biological hierarchies, providing insight into how discrete components interact to yield organized, functional structures. This work aims to explore how NCAs can act as a bridge for multi-scale encodings, enabling us to formally study attractor manifolds across scales that characterize cell transcriptomic state, cell morphology state, and tissue morphology phenotypes. By drawing connections between state transition dynamics and the broader context of multi-scale topological spaces, we begin to understand how cellular interactions encode complex tissue-level phenotypes, providing a pathway towards unifying mechanistic and functional perspectives of biological systems. I invite the audience to discuss how we might further leverage the lens of topology and category theory to help formalize and takle these multi-scale systems biological challenges.</div><div class="event_time">14:15 &bull; <a class="external" href="https://plan.epfl.ch/?room==CM%201%20517">EPF Lausanne</a></div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/geometry-seminar">Geometry Seminar</a></div><br /><div class="event_speaker"> Xenia Flamm (MPI Leipzig)</div><div class="event_title">Hilbert geometry over non-archimedean ordered valued fields <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The Hilbert metric is a distance defined on properly convex subsets of real projective space. It generalizes the hyperbolic metric in Klein\'s model of hyperbolic space, where the convex set is the unit ball. The study of degenerations in Hilbert geometry leads to replacing the reals by a non-archimedean ordered valued field. The aim of this talk is to introduce convex sets over such fields, describe their Hilbert metrics through several examples and view how they arise as limits of classical Hilbert geometries. This is joint work with Anne Parreau.</div><div class="event_time">15:30 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://memento.epfl.ch/event/probability-and-stochastic-analysis-seminar/">Probability (and Stochastic Analysis) Seminar </a></div><br /><div class="event_speaker"> Guillaume  Bavarez</div><div class="event_title">Uniqueness of Malliavin-Kontsevich-Suhov measures <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />About 20 years ago, Kontsevich & Suhov conjectured the existence and uniqueness of a family of measures on the set of Jordan curves, characterised by conformal invariance and another property called "conformal restriction". This conjecture was motivated by (seemingly unrelated) works of Schramm, Lawler & Werner on stochastic Loewner evolutions (SLE), and Malliavin, Airault & Thalmaier on "unitarising measures". The existence of this family was settled by works of Werner-Kemppainen and Zhan, using a loop version of SLE. The uniqueness was recently obtained in a joint work with Jego. I will start by reviewing the different notions involved before giving some ideas of our proof of uniqueness: in a nutshell, we construct a family of "orthogonal polynomials" which completely characterise the measure. In the remaining time, I will discuss the broader context in which our construction fits, namely the conformal field theory associated with SLE.</div><div class="event_time">16:00 &bull; EPF Lausanne, CM 1 517</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/seminar-on-stochastic-processes">Seminar on Stochastic Processes</a></div><br /><div class="event_speaker">Prof. Dr. Sergei Kuksin (Universite Paris-Diderot (Paris 7))</div><div class="event_title">On rigorous 1d versions of the laws of Kolmogorov’s theory of turbulence <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In his celebrated theory of turbulence, created in 1941 and known as the K41 theory, A.N.Kolmogorov considered the velocity u(t,x) of a turbulent flow of fluid. Assuming that the Reynolds number of the flow is large, he studied the increments u(t,x+r)-u(t,x) of u and heuristically examined their statistical properties, summarised in a number of law of the K41 theory. I will talk about fictitious 1d fluid, described by the stochastic Burgers equation, consider increments of its velocity field and will rigorously derive for them analogies of the corresponding laws from Kolmogorov\'s theory, strikingly close to these laws.</div><div class="event_time">17:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Thursday, December 5      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://uzh.ch">Universit&auml;t Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://www.math.uzh.ch/mat760">Ergodic theory and dynamical systems seminar</a></div><br /><div class="event_speaker">Max Auer (University of Maryland)</div><div class="event_title">Trimmed Ergodic Sums for Non-integrable Functions over Irrational Rotations <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />For a probability-preserving ergodic dynamical system (X, T, u) and an integrable function f, the asymptotic almost sure behaviour of the ergodic sums S_N (f ) is described by the Birkhoff Ergodic Theorem. The situation is much more complicated if f is not integrable, a result by Aaronson forbids almost sure Limit Theorems. Instead, the notion of trimming is introduced, by excluding the largest observations from S_N(f) . Trimmed limit Theorems are well-studied for iids. In the dynamical setting, results are only known for systems exhibiting strong mixing behaviour. We study trimming for irrational rotations in and functions with polynomial singularities.</div><div class="event_time">11:00 &bull; UZH Irchel, Building Y34, Room K 01</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://theory.epfl.ch/seminar/">Theory and Combinatorics Seminar</a></div><br /><div class="event_speaker"> Chris Schwiegelshohn</div><div class="event_title"> Sensitivity Sampling for k-means: Worst-Case and Stability Optimal Coreset Bounds <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Coresets are succint summaries of datasets such that for some cost function, the cost on the coreset approximates the cost on the entire data set up to a (1+-eps) factor. They have been particularly well studied for k-means. In this talk, we investigate a popular sampling algorithm known as sensitivity sampling in coreset literature, but also sometimes called leverage score sampling in other fields. We show that sensitvity sampling yields a coreset of optimal size.Joint work with Nikhil Bansal, Vincent Cohen-Addad, Milind Prabhu, and David Saulpic.</div><div class="event_time">15:00 &bull; EPF Lausanne, BC02</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/sfs/news-and-events/data-science-seminar">ETH-FDS seminar </a></div><br /><div class="event_speaker"> Mats Stensrud (EPFL)</div><div class="event_title">On Policy-Relevant Effects in the Presence of Interference <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The exposure of an individual i often affects the outcome of another individual j. A prominent example occurs in infectious disease settings, where vaccinating one individual can reduce disease transmission and thereby affect the health outcomes of others. This spillover effect is a type of interference, which implies that individuals cannot plausibly be perceived as independent and identically distributed (iid). Extensive methodological research has recently been motivated by interference problems and the violation of conventional iid assumptions. However, despite the growing interest in the topic, there remains controversy over whether and when existing methods capture effects of practical interest.In this talk, I will present causal methodology—motivated by infectious disease settings—for addressing interference. The central idea is to consider estimands that are insensitive to the interference structure. I will argue that these estimands have a clear interpretation and can be used to guide decisions made by, for example, doctors and patients facing infectious diseases. The methodology will be illustrated with examples of the effects of vaccines against HIV and influenza.</div><div class="event_time">16:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room D 7.1</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/~palmeran/topsem.html">Séminaire de Topologie et Géométrie </a></div><br /><div class="event_speaker"> Raphael  Zentner  (Durham)</div><div class="event_title">SL(2,C)-representations of 2-torsion homology spheres, and applications to the Kauffman skein module <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In recent joined work with Sudipta Ghosh and Steven Sivek we prove that any rational homology 3-sphere whose first homology group is 2-torsion, and which is not a connected sum of RP^3s, admits irreducible representations to SL(2,C) of its fundamental group. This has applications to the question of torsion in the Kauffman skein module. We will explain elements of the proof of our result, and how the application to the skein module is derived.</div><div class="event_time">16:15 &bull; Université de Genève, Conseil Général 7-9, Room 1-15</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/talks-in-financial-and-insurance-mathematics">Talks in Financial and Insurance Mathematics</a></div><br /><div class="event_speaker">Prof. Dr. Walter  Schachermayer (University of Vienna)</div><div class="event_title">Optimal martingale transport on R^d <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In classical optimal transport, the contributions of Benamou-Brenier and McCann regarding the time-dependent version of the problem are cornerstones of the field and form the basis for a variety of applications in other mathematical areas. For mu,nu probability measures on R^d, increasing in convex order, stretched Brownian motion provides an analogue for the martingale version of this problem. We provide a characterization in terms of gradients of convex func- tions, similar to the characterization of optimizers in classical optimal transport. We use stretched Brownian motion to extend Kellerer’s theorem on the existence of Markov martingales for given marginal distributions to the d-dimensional case. While this celebrated theorem is known for 50 years in the one-dimensional case, this is the first version pertaining to the d-dimensional case. We also provide a gradient flow to find the optimizer of stretched Brownian motion in the irreducible case. Joint work with M. Beiglboeck, J. Backhoff, B. Robinson, and B. Tschiderer.</div><div class="event_time">17:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/number-theory-seminar">Number Theory Seminar</a></div><br /><div class="event_speaker">Prof. Dr. David Loeffler  (UniDistance Suisse)</div><div class="event_title"><a class="external" href="https://fernuni.ch/mathematik-und-informatik/event/lecon-inaugurale-david-loeffler">Inaugural Lecture : The Legacy of Fermat\'s last Theorem</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In the 17th century, Pierre de Fermat stated – and claimed to have proved – an elegant mathematical theorem, stating that a certain equation has no solutions in the whole numbers. Generations of mathematicians tried to find a proof of this theorem, but the problem resisted attack for more than 350 years, until it was solved in 1995 by Andrew Wiles and Richard Taylor. Professor David Loeffler will explain the problem, and some of the beautiful and intricate ideas that played a role in its solution; and he will explain some more recent mathematical developments arising from the same circle of ideas which are still the focus of intense research today.</div><div class="event_time">17:15 &bull; UniDistance Suisse & online, Schinerstrasse 18, 3900 Brig</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Friday, December 6      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_ba"><a class="external" href="https://unibas.ch">Universität Basel</a></div><div class="event_type"><a class="external" href="https://dmi.unibas.ch/de/forschung/mathematik/seminar-in-numerical-analysis">Seminar in Numerical Analysis</a></div><br /><div class="event_speaker"> Alexandre Imperiale (CEA Paris-Saclay)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/news-events/detail/seminar-in-numerical-analysis-alexandre-imperiale-cea-paris-saclay/">A Gonzalez scheme for smooth nonlinear contact conditions in time-domain wave propagation problems</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We consider the problem of transient wave propagation within two domains linked with smooth nonlinear contact conditions at a common interface. While standard linear elastodynamics is assumed within each domain, at the interface we consider continuity of normal stresses, and (more importantly) a smooth finite compressibility law. We propose an energy preserving - thus stable - time scheme based upon [1], and devise an efficient time-marching algorithm. We validate our approach with semi-analytical results, and illustrate typical nonlinear waves phenomena (harmonics, zero-frequency components) in 2D. References [1] O. Gonzalez, Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Comput. Methods Appl. Mech. Eng., 2000, 190(13-14), 1763-1783. For further information about the seminar, please visit this webpage .</div><div class="event_time">11:00 &bull; Universität Basel, DMI, Spiegelgasse 5, 4051 Basel Seminarraum 05.001</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/tggroup/doku.php?id=fables">Séminaire "Fables Géométriques" </a></div><br /><div class="event_speaker"> Jeffrey Hicks (Edinburgh)</div><div class="event_title">What is the mirror to a Weinstein Neighborhood? <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />A fundamental result in symplectic geometry is that every Lagrangiansubmanifold has a small standard neighborhood. The existence of thisWeinstein Neighborhood implies that there are no “local” invariants of aLagrangian submanifold other than the topology of the Lagrangiansubmanifold. Mirror symmetry is a conjectured dictionary betweensymplectic and algebraic geometry on a pair of mirror spaces. Under thisdictionary, Lagrangian submanifolds in a symplectic manifold are relatedto sheaves on the mirror algebraic space. In this talk — which will only use intuition, not techniques fromsymplectic geometry — we give a candidate definition of the “Weinsteinneighborhood” of a sheaf on an algebraic space, which extends thedefinition of an affine neighborhood of a point. We\'ll prove theexistence of such a neighborhood for the structure sheaf of a hyperplanein projective space. Time permitting, we\'ll draw connections </div><div class="event_time">14:00 &bull; Université de Genève, Conseil Général 7-9, Room 6-13</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://math.ethz.ch/s/number-theory-seminar">Number Theory Seminar</a></div><br /><div class="event_speaker">Prof. Dr. Philippe MICHEL (EPFL)</div><div class="event_title">On mixed cubic moments for Dirichlet L-functions <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />A few months ago, Etienne fouvry, Emmanuel Kowalski and myselfinitiated the study of "mixed" moments of $L$-functionsof Dirichlet characters of prime modulus $q$.The mixed second moments are of the shape$$\\sum_{\\chi\\mod q}L(\\chi^a,1/2)L(\\chi^b,1/2)$$with $a$ and $b$ non-zero integers not necessarily equal (hence theterm "mixed"; we could establish an asymptotic formula for thesemoments when $q$ is large, with a power saving error term in $q$.In this talk, I will explain what we (EF, EK, myself together with WillSawin) can currently prove in the much more complicated case ofcubic mixed moments: moments of the shape$$\\sum_{\\chi\\mod q}L(\\chi^a,1/2)L(\\chi^b,1/2)L(\\chi^c,1/2).$$Our methods belong to the area of "applied $\\ell$-adic cohomology" andcombine a variety of techniques from analytic number theory with thetheory of algebraic exponential sums, in particular the properties ofKloosterman and hypergeometric sheaves studied by Katz.</div><div class="event_time">14:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://www.epfl.ch/labs/anmath/seminars/">Seminar of Analysis </a></div><br /><div class="event_speaker"> Martin Donati</div><div class="event_title">Localization of helical vortex filaments <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In the wake of a moving object immersed in a fluid, such as wind turbines, helicopters, and airplanes, singular vortex structures called vortex filaments are created. Moreover, the rotating-translating movement creates a very specific structure: helical vortex filaments. The motion of general filaments is the subject of the so-called "vortex filament conjecture" which is still open in most cases. Vortex filaments are too singular to be taken as an initial datum in the  3D Euler equations, so the movement of filaments is understood as the limit of smooth solutions concentrating near it. At the limit, it is known that the motion should be given by the binormal flow equation, however, it was only rigorously proved in very specific cases, including vortex rings. We prove the vortex filament conjecture in another specific situation: helical vortex filaments.</div><div class="event_time">14:15 &bull; EPF Lausanne, MA B1 11</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_zh"><a class="external" href="https://ethz.ch">ETH Z&uuml;rich</a></div><div class="event_type"><a class="external" href="https://stat.ethz.ch/events/zukost">ZueKoSt: Seminar on Applied Statistics</a></div><br /><div class="event_speaker"> Siddhartha Mishra (ETHZ)</div><div class="event_title"> Learning PDEs <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />PDEs are considered to be language of physics as they provide mathematical descriptions of a whole range of physical phenomena. The complexity and prohibitive computational cost of traditional physics-based numerical schemes necessitates the search for fast and efficient surrogates, based on machine learning. In this lecture, we survey recent developments in the field of learning solution operators for PDEs by focussing on structure preserving neural operators and on foundation models for sample efficient and generalizable multi-operator learning. We also briefly discuss graph neural network based learning of PDEs on arbitrary domain geometries and conditional Diffusion models for learning multi-scale physical systems such as Turbulent Fluid Flows. </div><div class="event_time">15:15 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 19.1</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://www.epfl.ch/schools/sb/research/math/statistics-seminars/">Statistics Seminar </a></div><br /><div class="event_speaker"> Mathias  Drton (TU Munich)</div><div class="event_title">Identification and Estimation of Graphical Continuous Lyapunov Models <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Graphical continuous Lyapunov models offer a new perspective on modeling causally interpretable dependence structure in multivariate data by treating each independent observation as a one-time cross-sectional snapshot of a temporal process. Specifically, the models consider multivariate Ornstein-Uhlenbeck processes in equilibrium. This leads to Gaussian models in which the covariance matrix is determined by the continuous Lyapunov equation. In this setting, each graphical model assumes a sparse drift matrix with support defined by a directed graph.The talk will discuss the identifiability of such sparse drift matrices and their regularized estimation. </div><div class="event_time">15:15 &bull; EPF Lausanne, CM 1 517</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_ge"><a class="external" href="https://unige.ch">Université de Genève</a></div><div class="event_type"><a class="external" href="https://www.unige.ch/math/tggroup/doku.php?id=fables">Séminaire "Fables Géométriques" </a></div><br /><div class="event_speaker"> Francesca Carocci (Roma)</div><div class="event_title">Realizability of tropical maps via logarithmic geometry and curves singularities <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this talk I will explain the interpretation of Speyerwell-spacedness condition for genus 1 realizability in terms oflogarithmic deformation theory and curve singularities given byRanganathan–Santos-Parker–Wise. I will then discuss how the same ideascan be used to approach the genus 2 realizability problem and thepartial results obtained so far for this case.</div><div class="event_time">16:00 &bull; Université de Genève, Conseil Général 7-9, Room 6-13</div>        </div>      </div>    </div>  </div>  <div id="sms_footer">    address: Alessandra Naldi Windler, Departement Mathematik, HG G 51.4, ETH Zurich, Raemistrasse 101, CH-8092 Zurich<br />    email: <a href="mailto:bulletin@math.ch">bulletin@math.ch</a> | phone: +41 44 632 3684 | url: <a href="https://math.ch">https://math.ch</a>    <br /><br /><img src="//www2.math.ethz.ch/smsjs/sms_logo.gif" width="150" alt="SMS/SMG Logo" title="SMS/SMG Logo" />  </div></div>';