var sms = '<div id="sms_bulletin">  <div id="sms_header">  <div class="do_not_print" id="arrow_left"><a href="?next=-68"><img src="//www2.math.ethz.ch/smsjs/images/arrow_left.png"/></a></div><div class="do_not_print" id="arrow_right"><a href="?next=-66"><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. 8</span>      <span style="float: right; text-align:right; width: 250px;">10.4 - 14.4.2023</span>      <span style="text-align: center; display: block; width: 250px; margin: auto; position: relative;">Spring Semester 2023</span>    </div>  </div>  <div></div>  <div id="sms_content">    <div class="day">      <div class="day_title">        Monday, April 10      </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, April 11      </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">        Wednesday, April 12      </div>      <div class="day_content">        <div class="day_content_item normal"><div class="event_location uni_sg"><a class="external" href="https://www.unisg.ch">Universit&auml;t St. Gallen</a></div><div class="event_type"><a class="external" href="https://www.math.uzh.ch/aa/?events">Neuchatel - St.Gallen - Zurich Seminar in Coding Theory and Cryptography</a></div><br /><div class="event_speaker">Prof. Dr. Michele Wigger (Telecom Paris, LTCI)</div><div class="event_title">Lectures on Information Theory - Part 7 <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Growth rates in gambling &lt;BR> &lt;BR> (**This eSeminar will take place over Zoom, using the same meeting details as previous seminars. If you do not have meeting details, please contact zita.fiquelideabreu@math.uzh.ch **)</div><div class="event_time">14:00 &bull; Uni St. Gallen, 64-110</div>        </div>        <div class="day_content_item normal"><div class="event_location uni_sg"><a class="external" href="https://www.unisg.ch">Universit&auml;t St. Gallen</a></div><div class="event_type"><a class="external" href="https://www.math.uzh.ch/aa/?events">Neuchatel - St.Gallen - Zurich Seminar in Coding Theory and Cryptography</a></div><br /><div class="event_speaker">Prof. Dr. Jan De Beule (Vrije Universiteit Brussel)</div><div class="event_title">On linear sets and MRD codes <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />&lt;BR> &lt;BR> (**This eSeminar will take place over Zoom, using the same meeting details as previous seminars. If you do not have meeting details, please contact zita.fiquelideabreu@math.uzh.ch **)</div><div class="event_time">15:15 &bull; Uni St. Gallen, 64-110</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Thursday, April 13      </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/zahlentheorie/">Seminar Zahlentheorie</a></div><br /><div class="event_speaker"> Riccardo Pengo (Max Planck Institut für Mathematik, Bonn)</div><div class="event_title">Limits of Mahler measures and successively exact polynomials <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />The Mahler measure of a multivariate Laurent polynomial P is a real number which measures the arithmetic complexity of P, and appears in many areas of mathematics, ranging from the Iwasawa theory of knots to ergodic theory. The set of real numbers which can be expressed as the Mahler measure of a polynomial with integer coefficients has some very interesting topological properties, as observed by Boyd. In particular, one expects it to be closed. In this talk, based on joint work with François Brunault, Antonin Guilloux and Mahya Mehrabdollahei, I will show how one can produce many interesting Cauchy sequences of Mahler measures, which converge to a Mahler measure, therefore respecting Boyd\'s conjecture. We are able moreover to give an explicit bound for the error term in the convergence of these sequences, and a full asymptotic expansion for one explicit family of polynomials, whose Mahler measure can be expressed in terms of the Bloch-Wigner dilogarithm evaluated at certain roots of unity. This is due to the fact that these polynomials share the property of being exact, which was introduced in the work of Maillot and Lalin. In the second part of my talk, based on work in progress with François Brunault, I will introduce this notion briefly, and a generalization of it, called "successive exactness", which are particularly useful in predicting links between Mahler measures and special values of L-functions.</div><div class="event_time">14:15 &bull; Universität Basel, Spiegelgasse 5, SR 05.002</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"> Richard Griffon (Université Clermont-Auvergne)</div><div class="event_title">Isogenies of Elliptic Curves over Function Fields <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />This talk is based on a joint work with Fabien Pazuki, in which we study elliptic curves over function fields and the isogenies between them. Specifically, we prove analogues in the function field setting of two famous theorems about isogenous elliptic curves over number fields. The function field versions of these theorems, though having a similar flavour to their number field counterparts, display some striking differences.The first of these results completely describes the variation of the Weil height of the $j$-invariant of elliptic curves within an isogeny class. In particular, we show that the modular height remains constant under an isogeny of degree prime to the characteristic.<br>Our second main theorem is an “isogeny estimate” in the spirit of theorems by Masser–Wüstholz and by Gaudron–Rémond. Unavoidable inseparability issues aside, we prove a uniform isogeny bound in this setting.After stating our results and giving sketches of their proof I will, time permitting, mention a few Diophantine applications. </div><div class="event_time">14:15 &bull; EPF Lausanne, Salle MA 3 30</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://www.ntwebseminar.org/">Number Theory Web Seminar</a></div><br /><div class="event_speaker"> Hélène Esnault (Freie Universität Berlin)</div><div class="event_title">Integrality Properties of the Betti Moduli Space <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We use de Jong’s conjecture and the existence of $\\ell$-adic companions to single out integrality properties of the Betti moduli space. The first such instance was in joint work with Michael Groechenig on Simpson’s integrality conjecture for (cohomologically) rigid local systems. This integrality property yields an obstruction for a finitely presented group to be the fundamental group of a sooth quasi-projective complex variety. <br>(joint with Johan de Jong).</div><div class="event_time">17:00 &bull; Universität Basel, online Seminar</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Friday, April 14      </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"> Vesa Kaarnioja (FU Berlin)</div><div class="event_title">High-dimensional kernel approximation of parametric PDEs over lattice point sets <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />We describe a fast method for solving elliptic PDEs with uncertain coefficients using kernel-based interpolation over a rank-1 lattice point set [1]. By representing the input random field of the system using a model proposed by Kaarnioja, Kuo, and Sloan [2], in which a countable number of independent random variables enter the random field as periodic functions, it is shown that the kernel interpolant can be constructed for the PDE solution (or some quantity of interest thereof) as a function of the stochastic variables in a highly efficient manner using fast Fourier transform. The method works well even when the stochastic dimension of the problem is large, and we obtain rigorous error bounds which are independent of the stochastic dimension of the problem. We also outline some techniques that can be used to further improve the approximation error and computational complexity of the method [3].<br><br>References:<br>[1] V. Kaarnioja, Y. Kazashi, F. Y. Kuo, F. Nobile, and I. H. Sloan. Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Numer. Math. 150:33-77, 2022.<br>[2] V. Kaarnioja, F. Y. Kuo, and I. H. Sloan. Uncertainty quantification using periodic random variables. SIAM J. Numer. Anal. 58(2):1068-1091, 2020.<br>[3] V. Kaarnioja, F. Y. Kuo, and I. H. Sloan. Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. Preprint 2023, arXiv:2303.17755 [math.NA].</div><div class="event_time">11:00 &bull; Universität Basel, Spiegelgasse 5, SR 05.002</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>';