var sms = '<div id="sms_bulletin">  <div id="sms_header">  <div class="do_not_print" id="arrow_left"><a href="?next=-46"><img src="//www2.math.ethz.ch/smsjs/images/arrow_left.png"/></a></div><div class="do_not_print" id="arrow_right"><a href="?next=-44"><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;">4.9 - 8.9.2023</span>      <span style="text-align: center; display: block; width: 250px; margin: auto; position: relative;">Summer Break 2023</span>    </div>  </div>  <div></div>  <div id="sms_content">    <div class="day">      <div class="day_title">        Monday, September 4      </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, September 5      </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"> Giovanni Inchiostro (University of Washington)</div><div class="event_title">Moduli of boundary polarized Calabi-Yau pairs  <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />I will discuss a new approach to build a moduli space of pairs (X,D) where X is a Q-Fano variety and D is a Q-divisor such that K_X + D is Q-rationally equivalent to 0. In the case of X=P^2, our approach gives a projective moduli space, which interpolates between KSBA-stability and K-stability. This is joint work with K. Ascher, D. Bejleri, H. Blum, K. DeVleming, Y. Liu, X. Wang</div><div class="event_time">14:00 &bull; EPF Lausanne</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Wednesday, September 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://www.epfl.ch/labs/mathicse/">Computational Science and Engineering </a></div><br /><div class="event_speaker"> Michael Multerer (USI)</div><div class="event_title"> Samplets: Construction and scattered data compression</div><div class="event_time">15:00 &bull; EPF Lausanne, CN 0 11</div>        </div>      </div>    </div>    <div class="day">      <div class="day_title">        Thursday, September 7      </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/talks-in-financial-and-insurance-mathematics">Talks in Financial and Insurance Mathematics</a></div><br /><div class="event_speaker">Dr. David Itkin (Imperial College London)</div><div class="event_title">Rank-based volatility stabilized models for equity markets <span class="abstract-button do_not_print">abstract</span></div><div class="abstract-text" style="display: none"><strong>Abstract:</strong><br />Building on the previously proposed volatility stabilized models (Fernholz & Karatzas, 2005) in the framework of stochastic portfolio theory, we propose a rank-based extension to model an equity market over long time horizons. In this extended model, a collection of d stock capitalizations is driven by rank-dependent drift and diffusions coefficients normalized by their inverse market weight. Under an explicit condition on the parameters, we establish global weak existence to the market weight system as well as ergodicity of the induced ranked market weights. We also establish uniqueness of the reflected stochastic differential equation that the ranked system satisfies. Moreover, we show that the model admits relative arbitrage; that is the market portfolio can be outperformed with probability one in finite time. We then calibrate the model to three stable features of US equity data: (i) volatility of the ranked market capitalizations, (ii) frequency and intensity of "collisions" (i.e. changes in rank) and (iii) the capital distribution curve. Despite having only two parameters per asset to fit three distinct criteria, we are able to show that the model parsimoniously fits these stylized features of long-term US equity modelling.  To the best of our knowledge this is the first model exhibiting relative arbitrage that has statistically been shown to have a good quantitative fit with the empirically estimable features (i)-(iii) above. We also generate simulated sample paths of the calibrated model and compare them to historical trajectories, both in and out of sample. Based on joint work in progress with Martin Larsson.</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, September 8      </div>      <div class="day_content">        <div class="day_content_item no_event">        No events scheduled today!        </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>';