var sms = '<div id="sms_bulletin">  <div id="sms_header">  <div class="do_not_print" id="arrow_left"><a href="?next=-1"><img src="//www2.math.ethz.ch/smsjs/images/arrow_left.png"/></a></div><div class="do_not_print" id="arrow_right"><a href="?next=1"><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. 14</span>      <span style="float: right; text-align:right; width: 250px;">20.5 - 24.5.2024</span>      <span style="text-align: center; display: block; width: 250px; margin: auto; position: relative;">Spring Semester 2024</span>    </div>  </div>  <div></div>  <div id="sms_content">    <div class="day">      <div class="day_title">        Monday, May 20      </div>      <div class="day_content">        <div class="day_content_item no_event">        No events scheduled today!        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Tuesday, May 21      </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/annonces/groupes-geometrie">Groupes et Géométrie </a></div><br /><div class="event_speaker"> Caroline Davis (Indiana University)</div><div class="event_title">Global Combinatorics of Per_n(0) Curves <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The moduli space of quadratic rational maps is isomorphic to C^2, and since the 80s the program has been to understand the dynamically natural 1-D subvarieties. The classic example is Per_n(0), the variety consisting of quadratic rational maps with a marked critical n-cycle. In this talk we introduce these curves and then spell out how the combinatorics of the Mandelbrot set can provide a path towards understanding the global structure of Per_n(0) and answering open questions such as irreducibility.</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_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"> Nicola Guglielmi (GSSI L\'Aquilla)</div><div class="event_title">On the contractivity of neural differential equations <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Nicola Guglielmi, Arturo De Marinis, Anton Savostianov, Stefano Sicilia, Francesco Tudisconicola.guglielmi@gssi.itGSSI - Gran Sasso Science Institute, Viale Francesco Crispi 7, L’Aquila, 67100, ItalyNeural ODEs [1] are ordinary differential equations whose vector field is a neural network.As all neural networks, neural ODEs are vulnerable to adversarial attacks, i.e. imperceptibleperturbations, added to the inputs of a neural network, designed in such a way that the outputis affected by large perturbations. For this it is important to make neural ODEs contractive(see e.g [2]). In this talk we propose a novel methodology to solve a key eigenvalue optimizationproblem which arises in the contractivity analysis of neural ODEs. More specifically we look atcontractivity properties of a one layer weight-tied neural ODEx&#729;(t) = &#963;(Ax(t) + b), t &#8712; [0, T], (1)where x : [0, T] &#8594; Rn is the feature vector evolution function, A &#8712; Rn,n and b &#8712; Rn are theparameters, and &#963; : R &#8594; R is the activation function, assumed to be smooth and such that&#963;&#8242;(R) &#8834; [m, 1], with 0 &lt; m &#8804; 1. (&#963; : R &#8594; R+ denotes an activation function and for a vectorz &#8712; Rn, &#963;(z) &#8712; Rn has to be interpreted entry-wise). To this aim we are led to study thelogarithmic norm of a set of products of type DA, where D is a diagonal matrix such thatdiag(D) &#8712; &#963;&#8242;(Rn).We propose a two-level nested methodology to solve this optimization problem and extend itto the general multilayer - and possibly time-dependent - casex&#729;(t) = &#963; (Ak(t). . . &#963; (A1(t)x(t) + b1(t)). . . + bk(t)).To illustrate our methodology, we propose several numerical examples, including the stabilizingperformance on a one-layer neural ODE applied to the classification of the MNIST handwrittendigits dataset.</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_la"><a class="external" href="https://www.epfl.ch">EPF Lausanne</a></div><div class="event_type"><a class="external" href="https://calendar.google.com/calendar/embed?mode=AGENDA&height=600&wkst=2&bgcolor=%23FFFFFF&src=t36it03v52cus2detrvinlgk18%40group.calendar.google.com&color=%235F6B02&ctz=Europe%2FZurich">Groups, Arithmetic and Algebraic Geometry Seminar </a></div><br /><div class="event_speaker"> Ilya Smirnov</div><div class="event_title">Title T.B.A.</div><div class="event_time">14:15 &bull; EPF Lausanne</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"> Katrin Wehrheim (UC Berkeley)</div><div class="event_title">Building blocks for the symplectic (A_infty,2)-category - part 1. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!</div><div class="event_time">15:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room F 26.3</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">Prof. Dr. Daniele Valtorta (Università degli Studi di Milano)</div><div class="event_title">Title T.B.A.</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_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"> Aleksandr Trufanov (UNIGE)</div><div class="event_title">Highest-weight vectors and three-point functions in GKO coset decomposition <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Goddard Kent Olive coset construction is one of the most basic and important constructions in the theory of vertex algebras. This construction can be viewed as an affine analog of the decomposition of tensor product of representations of sl(2). We find the formulas for highest weight vectors and their norms in coset decomposition.  We also derive formulas for matrix elements of natural vertex operators between these vectors. Due to the AGT relation, these relations are equivalent to blowup relations on Nekrasov partition functions with the presence of the surface defect. These relations can be used to prove Kyiv formulas for the Painlevé tau-functions (following Nekrasov’s method). The other important application is the calculation of the Selberg-type integrals of the particular type. The talk is based on work https://arxiv.org/abs/2404.14350 joint with M. Bershtein and B. Feigin.</div><div class="event_time">15:30 &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/symplectic-geometry-seminar">Symplectic Geometry Seminar</a></div><br /><div class="event_speaker"> Nathaniel Bottman (Max Planck Institute for Mathematics, Bonn)</div><div class="event_title">Building blocks for the symplectic (A_infty,2)-category - part 2.  NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!</div><div class="event_time">16:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room F 26.3</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://math.ethz.ch/s/zurich-colloquium-in-mathematics">Zurich Colloquium in Mathematics</a></div><br /><div class="event_speaker"> Enrique Zuazua</div><div class="event_title">Control and Machine Learning <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />In this lecture, we will discuss recent results from our group that explore the relationship between control theory and machinevlearning, specifically supervised learning and universal approximation. We will take a novel approach by considering the simultaneous control of systems of Residual Neural Networks (ResNets). Each item to be classified corresponds to a different initial datum for the ResNet\'s Cauchy problem, resulting in an ensemble of solutions to be guided to their respective targets using the same control.We will introduce a nonlinear and constructive method that demonstrates the attainability of this ambitious goal, while also estimating the complexity of the control strategies. This achievement is uncommon in classical dynamical systems in mechanics, and it is largely due to the highly nonlinear nature of the activation function that governs the ResNet dynamics. This perspective opens up new possibilities for developing hybrid mechanics-data driven modeling methodologies.Throughout the lecture, we will also address some challenging open problems in this area, providing an overview of the exciting potential for further research and development.</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. Jürg Kramer  (Humboldt Universität zu Berlin)</div><div class="event_title">A complementary Koecher principle <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />It is a well-known fact that holomorphic functions extend across subsets ofcodimension 2. Restricting to the subclass of Siegel modular forms, the Koecherprinciple states that these functions even extend holomorphically across the1-codimensional boundary of a (toroidal) compactication of the underlyingSiegel modular variety provided its complex dimension is greater than 1. As adirect consequence of this principle, Siegel modular forms possess a convergentFourier{Jacobi expansion. Surprisingly, it turns out that also the converse holds,i. e., a formal Fourier{Jacobi expansion gives rise to a Siegel modular form and isthus automatically convergent. We will report about</div><div class="event_time">17:15 &bull; Université de Fribourg, room Phys 2.52</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_be"><a class="external" href="https://www.unibe.ch">Universität Bern</a></div><div class="event_type"><a class="external" href="https://www.math.unibe.ch/research/talks/colloquium/index_eng.html">Mathematisches Kolloquium </a></div><br /><div class="event_speaker"> Rafael Andrist (University of Ljubljana)</div><div class="event_title">Pseudoconvex domains have connected boundary <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Pseudoconvex domains are well known in complex analysis as the domains of existence for holomorphic functions. They can be characterized by their intrinsic geometry, in particular by the existence of a Morse exhaustion function that is plurisubharmonic. We show that the boundary of a bounded pseudoconvex domain is always connected (except for complex dimension 1) as a direct consequence of its intrinsic geometry. The proof extends to bounded J-pseudoconvex domains in almost complex manifolds too.</div><div class="event_time">17:15 &bull; Universität Bern, Sidlerstrasse 5, 3012 Bern, Lecture Room B6</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Wednesday, May 22      </div>      <div class="day_content">        <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/epfl-applied-topology-seminar-spring-2024/">Seminar of Applied Topology </a></div><br /><div class="event_speaker"> Sara Kalisnik (ETH Zürich)</div><div class="event_title">Title T.B.A.</div><div class="event_time">10:15 &bull; EPF Lausanne, MA B1 524</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://commonweb.unifr.ch/_Science/Math/Pub/Math/seminars/OSgeom-top.html">Oberseminar Geometrie</a></div><br /><div class="event_speaker"> Danica  Kovanovi&#263;  (ETHZ)</div><div class="event_title">Diffeomorphisms of 4-manifolds from graspers <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />After reviewing what is known about smooth 4-manifolds and their dif-feomorphisms, I will show how all known constructions can be recoveredby a construction, called parametrised surgery, on certain families ofembedded circles, constructed in our previous work using graspers.</div><div class="event_time">10:20 &bull; Université de Fribourg, room Phys 2.52</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://www.math.uzh.ch/mat760">Ergodic theory and dynamical systems seminar</a></div><br /><div class="event_speaker">Dr. Mikolaj Fraczyk (Jagiellonian University)</div><div class="event_title">Higher rank rigidity and discrete subgroups of semisimple Lie groups <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />I will talk about a new strategy of studying discrete subgroup of a higher rank semisimple Lie group using the high and low entropy methods for actions of higher rank abelian groups. They were developed by Einsiedler-Katok-Lindenstrauss to study A-invariant measures on (typically finite volume) quotients of semisimple Lie groups. The properties of such measures can reveal a lot about the geometry of the quotient, wich in turn makes them a useful tool in studying (a priori) infinite covolume subgroups of semisimple Lie groups. Based on a joint work with Minju Lee.</div><div class="event_time">13:30 &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_zh"><a class="external" href="https://ethz.ch">ETH 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. Harald Helfgott (CNRS)</div><div class="event_title">Expansion, divisibility and parity <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We will discuss a graph that encodes the divisibility properties of integers by primes. We will prove that this graph has a strong local expander property almost everywhere. We then obtain several consequences in number theory, beyond the traditional parity barrier, by combining the main result with Matomaki-Radziwill. (This is joint work with M. Radziwill.) For instance: for lambda the Liouville function (that is, the completely multiplicative function with lambda(p) = -1 for every prime), (1/\\log x) \\sum_{n\\leq x} lambda(n) \\lambda(n+1)/n = O(1/sqrt(log log x)), which is stronger than well-known results by Tao and Tao-Teravainen. We also manage to prove, for example, that lambda(n+1) averages to 0 at almost all scales when n restricted to have a specific number of prime divisors Omega(n)=k, for any "popular" value of k (that is, k = log log N + O(sqrt(log log N)) for n&lt;=N). We shall also discuss a recent generalization by C. Pilatte, who has succeeded in proving that a graph with edges that are rough integers, rather than primes, also has a strong local expander property almost everywhere, following the same strategy. As a result, he has obtained a bound with O(1/(log x)^c) instead of O(1/sqrt(log log x)) in the above, as well as other improvements in consequences across the board.</div><div class="event_time">13:30 &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_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/analysis/analysis-seminar">Analysis Seminar</a></div><br /><div class="event_speaker"> Christof Sparber (University of Illinois at Chicago)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/news-events/detail/seminar-analysis-and-mathematical-physics-christof-sparber-university-of-illinois-at-chicago-1/">Ground state (in-)stability and long-time behavior in multi-dimensional Schrödinger equations</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We consider Schrödinger equations with competing nonlinearities in spatial dimensions up to three, for which global existence holds (i.e. no finite-time blow-up). A typical example is the case of the (focusing-defocusing) cubic-quintic NLS. We recall the notions of energy minimizing versus action minimizing ground states and show that, in general, the two must be considered as nonequivalent. The question of long-time behavior of solutions, in particular the problem of ground-state (in-)stability will be discussed using analytical results and numerical simulations.</div><div class="event_time">14:15 &bull; Universität Basel, Spiegelgasse 5, Seminarraum 05.002</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"> Harald Helfgott (CNRS)</div><div class="event_title">Title T.B.A.</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_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"> Philip Easo (Caltech)</div><div class="event_title">Title T.B.A.</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, May 23      </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"> Umut Çetin (London School of Economics)</div><div class="event_title">Mathematics of Market Microstructure</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://calendar.google.com/calendar/embed?mode=AGENDA&height=600&wkst=2&bgcolor=%23FFFFFF&src=t36it03v52cus2detrvinlgk18%40group.calendar.google.com&color=%235F6B02&ctz=Europe%2FZurich">Groups, Arithmetic and Algebraic Geometry Seminar </a></div><br /><div class="event_speaker"> Nikolas Adaloglou (Leiden)</div><div class="event_title">Title T.B.A.</div><div class="event_time">13:30 &bull; EPF Lausanne, B1 524</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"> Alexis  Virelizier  (Université de Lille)</div><div class="event_title">Non compact 3-dimensional TQFTs from non-semisimple spherical categories <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />A chromatic category is a pivotal linear category endowed with a non-degenerate modified trace on the ideal of projective objects and with a chromatic map (which plays the role of the Kirby color in the Reshetikhin-Turaev surgery semisimple approach). For example, each spherical tensor category (in the sense of Etingof, Douglas et al.) is a chromatic category. We associate to any chromatic category a finite dimensional non-compact 3-dimensional TQFT. Its construction consists of assigning admissible skein modules to closed oriented surfaces and using Juhász\'s presentation of cobordisms. The resulting TQFT extends to a genuine one if and only if the chromatic category is semisimple with nonzero dimension (recovering then the Turaev-Viro TQFT).This is a joint work with Francesco Costantino, Nathan Geer, and Bertrand Patureau-Mirand.</div><div class="event_time">14:15 &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/symplectic-geometry-seminar">Symplectic Geometry Seminar</a></div><br /><div class="event_speaker"> Agustin Moreno (Heidelberg University)</div><div class="event_title">Symplectic structures from almost symplectic structures. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM! <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 will consider a stabilized version of thefundamental existence problem of symplectic structures(McDuff--Salamon, Problem 1). Given a formal symplectic manifold,i.e. a closed manifold M with a non-degenerate 2-form and anon-degenerate second cohomology class, we investigate when itsnatural stabilization to M x T^2 can be realized by a symplecticform. We show that this can be done whenever the formal symplecticmanifold admits a symplectic divisor.It follows that the product with T^2 of an almost symplectic blow upadmits a symplectic form. Another corollary is that if a formalsymplectic 4-manifold M, which either satisfies that itspositive/negative second betti numbers are both at least 2, or that issimply connected, then M x T^2 is symplectic. For instance(CP^2#CP^2#CP^2)xT^2 is symplectic, even though CP^2#CP^2#CP^2 is not,by work of Taubes.These results follow from a stabilized version of Eliashberg--Murphy\'sh-principle for symplectic cobordisms, which makes no assumptions onovertwistedness at the boundary.This is joint work with Fabio Gironella, Fran Presas, LauranToussaint.</div><div class="event_time">15:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room F 26.3</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/mat675.1">PDE and Mathematical Physics</a></div><br /><div class="event_speaker">Prof. Dr. Charles Collot (CY Cergy Paris Université)</div><div class="event_title">Asymptotic stability of traveling waves for one-dimensional nonlinear Schrodinger equations <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We consider one dimensional nonlinear Schrodinger equations around a traveling wave. We prove its asymptotic stability for general nonlinearities, under the hypotheses that the orbital stability condition of Grillakis-Shatah-Strauss is satisfied and that the linearized operator does not have a resonance and only has 0 as an eigenvalue. As a by-product of our approach, we show long-range scattering for the radiation remainder. Our proof combines for the first time modulation techniques and the study of space-time resonances. We rely on the use of the distorted Fourier transform, akin to the work of Buslaev and Perelman and, and of Krieger and Schlag, and on precise renormalizations, computations and estimates of space-time resonances to handle its interaction with the soliton. This is joint work with Pierre Germain.</div><div class="event_time">16:15 &bull; UZH Irchel, Winterthurerstrasse 190, Z&uuml;rich, Building Y27, Room H 46</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"><a class="external" href="http://stats.lse.ac.uk/cetin/">Prof. Dr. Umut Çetin (London School of Economics)</a></div><div class="event_title">Kyle’s model with penalties, entropy and BSDEs <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We consider the Kyle model in continuous time, where the informed traders face additional frictions. These frictions may arise due to difficulties in executing large portfolio, or legal penalties in case the informed trader is trading illegally on inside information.  The equilibrium is characterised via the solution of a backward stochastic differential equation (BSDE) whose terminal condition is determined as the fixed point of a non-linear operator in equilibrium. A curious connection between the terminal condition of this BSDE and an entropic optimal transport problem appears in equilibrium.  We find that informed traders consistently trade a constant multiple of the difference between the fundamental value and their anticipated market price just before their private information is disclosed to the public, reminiscent of the behaviour of a large trader in an Almgren-Chris model.If time permits, as an application to insider trading regulation, we also consider a regulator’s challenge of balancing price informativeness with minimising losses for uninformed traders, given a budget constraint. High legal penalties deter illegal trading and protect uninformed traders but make prices less efficient. An optimal policy suggests that if the cost of investigation exceeds its benefits, it’s best not to investigate.</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">        Friday, May 24      </div>      <div class="day_content">        <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"> Itay Griniasty</div><div class="event_title">Emergent complex functionality in microscopic machines and computational models <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Systems composed of many interacting elements that collaboratively generate a function, such as meta-material robots, proteins, and neural networks are notoriously difficult to design.Such systems elude traditional explicit design methodologies, which rely on composing individual components with specific subfunctions, such as cogs, springs and shafts, to achieve complex functionality. In part the problem stems from the fact that there are few principled approaches to the design of emergent functionality.  In this talk I will describe progress towards creating such paradigms for two canonical systems: I will first describe how bifurcations of the system dynamics can be used as an organizing principle for the design of functionality in protein like machines with magnetic interactions. I will then introduce a computational microscope that we have developed to analyze emergent functionality, and its application to machine learning. There we uncovered compelling evidence that the training of neural networks is inherently low dimensional, suggesting new paradigms for their design.</div><div class="event_time">11:15 &bull; EPF Lausanne, GA 3 21</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. Otmar Venjakob (Universität Heidelberg)</div><div class="event_title">Explicit Reciprocity Laws in Number Theory <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The quadratic Reciprocity Law for the Legendre or Jacobi-Symbol forms thestarting point of all Reciprocity Laws as well as of class field theory. It is closelyrelated to the product formula of the quadratic Hilbert-Symbol over local fields.Various mathematicians have established higher explicit formulae to computehigher Hilbert-Symbols. Analogs were found for formal (Lubin-Tate) groups.Eventually Perrin-Riou has formulated a Reciprocity Law, which allows the explicit computation of local cup product pairings by means of Iwasawa- and p-adic Hodge Theory. In this talk I shall try to give an overview of these topics, at the endI will explain recent developments in this regard.</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_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">Prof. Dr. Sabrina Pauli (TU Darmstadt)</div><div class="event_title">Title T.B.A.</div><div class="event_time">14:30 &bull; ETH Zentrum, Building ITS, Room  </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"> Adam Jaffe (UC Berkeley)</div><div class="event_title">Title T.B.A.</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_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">Dr. Sam Molcho (Aarhus University)</div><div class="event_title">Title T.B.A.</div><div class="event_time">16:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G 43</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>';