<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">幾何メーリングリストの皆様<div class=""><br class=""></div><div class="">On line seminar の案内，転送させていただきます。</div><div class=""><br class=""></div><div class="">森本 徹</div><div class=""><br class=""><div><br class=""><blockquote type="cite" class=""><div class="">転送されたメッセージ:</div><br class="Apple-interchange-newline"><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">差出人: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class="">Wojciech Krynski <<a href="mailto:krynski@impan.pl" class="">krynski@impan.pl</a>><br class=""></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">件名: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class=""><b class="">Geometry and Differential Equations Seminar, Wednesday, June 03, ONLINE</b><br class=""></span></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;" class=""><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif; color:rgba(0, 0, 0, 1.0);" class=""><b class="">日付: </b></span><span style="font-family: -webkit-system-font, Helvetica Neue, Helvetica, sans-serif;" class="">2020年5月29日 17:38:05 JST<br class=""></span></div><br class=""><div class=""><div class="">Dear All, <br class=""><br class="">I would like to invite you to the next meeting of the Geometry and Differential Equations Seminar at IMPAN. <br class="">The seminar will be held online, using the Zoom platform, next Wednesday, June 03, at 10:15AM (Warsaw time). <br class=""><br class="">To join the meeting please follow the link: <br class=""><a href="https://us02web.zoom.us/j/86799521965" class="">https://us02web.zoom.us/j/86799521965</a><br class="">(Meeting ID: 867 9952 1965)<br class=""><br class="">Program: <br class=""><br class=""><br class="">Bronislaw Jakubczyk (IM PAN)<br class=""><br class="">Title: Solving geometric PDEs for mathematical Nobel of 2019 (and Fields Medal of 1986)<br class=""><br class="">ABSTRACT: In 1954 C.N. Yang and R. Mills proposed a model for strong interactions in atomic nuclei. The main role in the classical version of the model was played by certain „physical fields” now called Yang-Mills fields. Mathematically, these were connections on certain vector (or principal) bundles which were supposed to satisfy a set of canonical PDEs (now Yang-Mills equations). The equations were Euler-Lagrange equations for the energy functional defined by the curvature of the connection. Almost three decades later mathematicians started to study solutions to such PDEs and got unexpected results.<br class=""><br class="">We will give a gentle overwiew of results of Karen Uhlenbeck (Abel Prize 2019). These will include: existence and regularity of a connection given its curvature, solutions to Yang-Mills equations and their singularities, regulartity and singularities of harmonic maps. We will briefly mention how Uhlenbeck's results helped S. Donaldson to obtain his revolutionary results in topology of 4-manifolds. The gauge symmetry of the set of solutions to Yang-Mills PDEs was used for defining invariants of differentiable manifolds.<br class=""><br class=""><br class="">---<br class=""><br class="">Feel free to pass this invitation to anyone that may be interested. <br class="">More information on the seminar can be found at: https://www.impan.pl/~krynski/GDEseminar/<br class=""><br class=""><br class=""><br class="">Organizers, <br class="">Janusz Grabowski <br class="">Bronisław Jakubczyk <br class="">Paweł Nurowski <br class="">Wojciech Kryński<br class=""></div></div></blockquote></div><br class=""></div></body></html>