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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>INSTITUTE FOR ADVANCED STUDY<o:p></o:p></p><p class=MsoNormal>School of Mathematics<o:p></o:p></p><p class=MsoNormal>Princeton, NJ 08540<o:p></o:p></p><p class=MsoNormal><b><o:p> </o:p></b></p><p class=MsoNormal><b>Mathematics Seminars<o:p></o:p></b></p><p class=MsoNormal><b>Week of January 14, 2019<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>--------------<o:p></o:p></p><p class=MsoNormal>To view mathematics in titles and abstracts, please click on the talk's link.<o:p></o:p></p><p class=MsoNormal>--------------<o:p></o:p></p><p class=MsoNormal><b><o:p> </o:p></b></p><p class=MsoNormal><b>Tuesday, January 15<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Variational Methods in Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Regularity of weakly stable codimension 1 CMC varifolds<o:p></o:p></p><p class=MsoNormal>Speaker: Neshan Wickramasekera, University of Cambridge; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 1:00pm - 3:00pm/Simonyi Hall 101<o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=142606"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142606</span></a><o:p></o:p></p><p class=MsoNormal><span lang=FR><o:p> </o:p></span></p><p class=MsoNormal>Variational Methods in Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Minimal surfaces with index one in spherical space forms<o:p></o:p></p><p class=MsoNormal>Speaker: Celso Viana, Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 3:30pm - 5:30pm/Simonyi Hall 101<o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=142609"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142609</span></a><span lang=FR><o:p></o:p></span></p><p class=MsoNormal><span lang=FR><o:p> </o:p></span></p><p class=MsoNormal><span lang=FR><o:p> </o:p></span></p><p class=MsoNormal><span lang=FR><o:p> </o:p></span></p><p class=MsoNormal><b>Wednesday, January 16<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Working Group on Geometric Applications of the Langlands Correspondence<o:p></o:p></p><p class=MsoNormal>Speaker: Kiran Kedlaya, University of California, San Diego; Visiting Professor; School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 3:30pm - 5:30pm/Simonyi Hall 101<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>1 Regularity of weakly stable codimension 1 CMC varifolds <br> Neshan Wickramasekera <br><br><o:p></o:p></p><p class=MsoNormal>The lecture will discuss recent joint work with C. Bellettini and O. Chodosh. The work taken together establishes sharp regularity conclusions, compactness and curvature estimates for any family of codimension 1 integral $n$-varifolds satisfying: (i) locally uniform mass and $L^{p}$ mean curvature bounds for some $p > n;$ (ii) two structural conditions and (iii) two variational hypotheses on the orientable regular parts, namely, stationarity and (weak) stability with respect to the area functional for volume preserving deformations (supported on the regular parts). The work builds on the earlier work for zero mean curvature, strongly stable varifolds and on the fundamental theories of Schoen--Simon--Yau and of Schoen--Simon for strongly stable hypersurfaces with small singular sets. The lecture will focus on how to handle the new difficulties that arise. These stem from the combinatinon of higher multiplicity, lack of a two sided strong maximum principle and the absence of any a priori hypothesis on the size of the singular set.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142606">http://www.math.ias.edu/seminars/abstract?event=142606</a><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><br><br>2 Minimal surfaces with index one in spherical space forms <br> Celso Viana <br><br><o:p></o:p></p><p class=MsoNormal>Minimal surfaces are critical points of the area functional. In this talk I will discuss classification results for minimal surfaces with index one in 3-manifolds with non-negative Ricci curvature and outline the proof that in spherical space forms with large fundamental group the genus of such surfaces is at most two.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142609">http://www.math.ias.edu/seminars/abstract?event=142609</a><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><br><br>IAS Math Seminars Home Page:<br><a href="http://www.math.ias.edu/seminars">http://www.math.ias.edu/seminars</a><o:p></o:p></p></div></body></html>