var sms = '<div id="sms_bulletin">  <div id="sms_header">  <div class="do_not_print" id="arrow_left"><a href="?next=-3"><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. 7</span>      <span style="float: right; text-align:right; width: 250px;">3.2 - 7.2.2025</span>      <span style="text-align: center; display: block; width: 250px; margin: auto; position: relative;">Winter Break 2024/25</span>    </div>  </div>  <div></div>  <div id="sms_content">    <div class="day">      <div class="day_title">        Monday, February 3      </div>      <div class="day_content">        <div class="day_content_item important"><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. Davesh Maulik (MIT)</div><div class="event_title">D-equivalence conjecture for varieties of K3^[n]-type <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The D-equivalence conjecture of Bondal and Orlov predicts that birational Calabi-Yau varieties have equivalent derived categories of coherent sheaves.  I will explain how to prove this conjecture for hyperkahler varieties of K3^[n] type (i.e. those that are deformation equivalent to Hilbert schemes of K3 surfaces).  This is joint work with Junliang Shen, Qizheng Yin, and Ruxuan Zhang.</div><div class="event_time">17:30 &bull; Zoom</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Tuesday, February 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/annonces/groupes-geometrie">Groupes et Géométrie </a></div><br /><div class="event_speaker"> Paul-Henry  Leemann  (Xi’an Jiaotong-Liverpool University)</div><div class="event_title">Sous-groupes maximaux, faiblement maximaux et généralisations <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Une des nombreuses approches pour comprendre un groupe G est d\'étudier son treillis des sous-groupes. Dans ce cadre, il est naturel de commencer par l\'étude des sous-groupes maximaux. Une première question est de savoir si G admet des sous-groupes maximaux d\'indice infini. L\'étape d\'après consiste à étudier les sous-groupes faiblement maximaux, c\'est-à-dire les sous-groupes maximaux parmi les sous-groupes d\'indice infini. Cette classe contient les sous-groupes maximaux d\'indice infinis, mais ne s\'y limite pas. Avec mes coauteurs, nous nous sommes intéressés à la généralisation suivante: les sous-groupes maximaux dans leur classes de commensurabilité (max-com).L\'exposé se veut auto-contenu et commencera par quelques rappels historiques et premier exemples faciles. J\'expliquerai ensuite comment les sous-groupes max-com sont reliés aux représentations irréductibles. On conclura par un début de classification des sous-groupes max-coms dans les groupes branchés.Il s\'agit d\'un travail en commun avec Dominik Francoeur et Tatiana Nagnibeda.</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_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/mathicse/">Computational Science and Engineering </a></div><br /><div class="event_speaker"> Valentin  Carlier (Max Planck Institute for Plasma Physics, Germany)</div><div class="event_title">Variational-FEEC discretization for the equations of MagnetoHydroDynamics <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We propose a new class of finite element approximations to the compressible magnetohydrodynamics equations. Our discretizations are built via a discrete least action principle mimicking the continuous Euler-Poincaré principle, allowing the preservation of important structures of the problem. We will also shortly describe the inclusion of dissipative terms in this framework, first on their inclusion in the continuous least principle and then on the discrete one. The resulting semi-discrete approximations are shown to conserve the total mass, and energy of the solutions and create entropy in the presence of dissipative terms. In addition the divergence-free nature of the magnetic field is preserved in a pointwise sense. Numerical simulations are conducted, using spline finite elements (IGA), to verify the accuracy of our approach, its ability to preserve the semi-discrete invariants for several test problem and then test its performance on the simulation of plasma instability in simplified tokamak geometry</div><div class="event_time">14:30 &bull; EPF Lausanne, CM 1 517</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Wednesday, February 5      </div>      <div class="day_content">        <div class="day_content_item important"><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. Yongbin  Ruan (Zhejiang Univeristy and ETH-ITS)</div><div class="event_title">Current work and open questions</div><div class="event_time">13:15 &bull; ETH Zentrum, Building SEW, Room  </div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Thursday, February 6      </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://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"> Olivier  Benoist</div><div class="event_title">Cohomological dimension of fields of meromorphic functions <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The cohomological dimension of a field is an invariant that measures its arithmetic complexity. In this talk, I will prove that the field of meromorphic functions on a Stein compact set of dimension n (e.g. on the closed unit ball in C^n) has cohomological dimension n. I will also present applications to sums of squares in the spirit of Hilbert\'s 17th problem.</div><div class="event_time">13:15 &bull; EPF Lausanne, MA A3 31</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/zahlentheorie/">Seminar Zahlentheorie</a></div><br /><div class="event_speaker"> Ashvin Swaminathan (Harvard University)</div><div class="event_title"><a class="external" href="https://dmi.unibas.ch/de/news-events/detail/number-theory-seminar-alina-ostafe-university-of-new-south-wales-1/">Title T.B.A.</a> <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Title: Toward secondary terms for 2-Selmer groups in special families of elliptic curves Abstract: A well-known result of Bhargava and Shankar states that when elliptic curves over Q are ordered by naive height, the average size of their 2-Selmer groups is equal to 3. But this result is at odds with computed tables of Selmer groups of elliptic curves, which indicate an average of slightly less than 3. Recent work of Shankar and Taniguchi suggests that the asymptotic count of 2-Selmer elements possesses a negative second-order term, which would explain the discrepancy. In this talk, we will discuss progress toward obtaining second-order asymptotics for 2-Selmer groups in special families of elliptic curves, such as the family of Mordell curves. Spiegelgasse 5, Seminarraum 05.002</div><div class="event_time">14:15 &bull; Universität Basel</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. Andrea Macrina (University College London)</div><div class="event_title">From stressed carbon budgets to financial discounting with urgency <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />If the leading principle is that reducing carbon emissions today is more valuable than reducing emissions tomorrow, how should financial carbon discounting work? Starting from carbon budgets that limit global warming to under a specified level with a given probability, a carbon discount bond system is developed that depends on the stochastic carbon emissions and an associated emissions abatement plan. We show that the sooner and more capital is invested to reduce carbon emissions, the better. The proposed financial design and pricing approach also considers the notion of a carbon budget debt and its financial treatment in a tiered carbon discounting system. Hedge portfolios and carbon budget derivatives emerge that mitigate financial losses if emissions exceed a planned/mandated carbon budget. Initial observations point to a multicurve term structure underlying the constructed carbon discount bond system that is linked to the carbon budgets and emissions abatement urgency.</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, February 7      </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/anmath/seminars/">Seminar of Analysis </a></div><br /><div class="event_speaker"> Paolo  Ventura  (Univ. Milan)</div><div class="event_title">Infinitely many Isolas of Instability for Stokes Waves <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />"Stokes waves are the simplest nontrivial form of water waves, featuring a periodic profile moving steadily in one direction. In the \'70s, Benjamin and Feir discovered through experiments that the steady profile is unstable under long-wave perturbations, i.e. disturbances that, although small in amplitude, have much longer period than the initial wave. In recent years, significant mathematical progress has been made on this \'modulational\' instability, particularly in the linear approximation, which involves understanding the $L^2(\\mathbb R)$-spectrum of the water wave operator linearized along a Stokes wave. I will present our latest results on the topic, specifically the full description of arbitrary portions of the unstable spectrum. As long conjectured by numerical investigations, this spectrum consists of infinitely many isolated elliptical branchings, called \'isolas\', centered on the imaginary axis that become exponentially small as one moves away from the origin of the complex plane. This work was done in collaboration with M. Berti, L. Corsi, and A. Maspero"</div><div class="event_time">14:00 &bull; EPF Lausanne, MA B1 11</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"> Michael  Röckner  (Bielefeld University)</div><div class="event_title">P–Brownian motion and the p–Laplacian <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 shall present the construction of a stochastic process, which is related to the parabolic p-Laplace equation in the same way as Brownian motion is to the classical heat equation given by the (2-) Laplacian. Joint work with: 1) Viorel Barbu, Al.I. Cuza University and Octav Mayer Institute of Mathematics of Romanian Academy, Ia&#351;i, Romania2) Marco Rehmeier, Faculty of Mathematics, Bielefeld University, Germany References:[1] V. Barbu, M. Rehmeier, M. Röckner: arXiv:2409.18744[2] V. Barbu, M. Röckner: Springer LN in Math. 2024[3] M. Rehmeier, M. Röckner: arXiv:2212.12424</div><div class="event_time">16:00 &bull; EPF Lausanne, CM 14</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. Kento Osuga (Univ. of Tokyo)</div><div class="event_title">Volumes of moduli spaces of bordered Klein surfaces <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Weil–Petersson volumes are fascinating objects. They are defined as volumes of moduli spaces of oriented hyperbolic surfaces, and they satisfy the so-called Mirzakhani\'s recursion. The goal of this talk is to discuss a non-orientable analogue of Weil–Petersson volumes as well as their recursive structure. I will show how volumes are defined, compute the volume of hyperbolic Klein bottles, and most importantly, explore a possible relation to other objects in mathematics such as the Virasoro algebra and topological recursion. This talk is based on a joint work with Elba Garcia-Failde and Paolo Gregori.</div><div class="event_time">16:00 &bull; ETH Zentrum, R&auml;mistrasse 101, Z&uuml;rich, Building HG, Room G G43</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"> Horng-Tzer  Yau (Harvard)</div><div class="event_title">Ramanujan property of random regular graphs and delocalization of random band matrices <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  review two recent works on random matrices. 1.  We consider the normalized adjacency matrix of a random $d$-regular graph on $N$ vertices with any fixed degree $d\\geq 3$ and denote its eigenvalues as $\\lambda_1=d/\\sqrt{d-1}\\geq \\lambda_2\\geq\\lambda_3\\cdots\\geq \\lambda_N$. We establish the edge universality for random $d$-regular graphs, namely,  the distributions of $\\lambda_2$ and $-\\lambda_N$ converge to the Tracy-Widom$_1$ distribution associated with the Gaussian Orthogonal Ensemble. As a consequence, for sufficiently large $N$, approximately $69\\%$ of $d$-regular graphs on $N$ verticesare Ramanujan, meaning $\\max\\{\\lambda_2,|\\lambda_N|\\}\\leq 2$. This resolves a conjecture by  Sarnak and Miller-Novikoff-Sabelli.2. Consider an $ N \\times N$ Hermitian one-dimensional random band matrix with  band width $W > N^{1 / 2 + \\varepsilon} $ for any $ \\varepsilon > 0$. In the bulk of the spectrum and in the large $ N $ limit, we prove that  all $ L^2 $- normalized eigenvectors are delocalized, meaning their $ L^\\infty$ norms are simultaneously bounded by $ N^{-\\frac{1}{2} + \\varepsilon} $ with overwhelming probability, for any $ \\varepsilon > 0 $.  This resolves the delocalization of one-dimensional random band matrices in the full conjectured regime of the band width. </div><div class="event_time">17:00 &bull; EPF Lausanne</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>';