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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72"><div class=WordSection1><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><o:p> </o:p></p><p class=MsoNormal><b>Mathematics Seminars<o:p></o:p></b></p><p class=MsoNormal><b>Week of March 4, 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><o:p> </o:p></p><p class=MsoNormal><b>Please note the following seminars will be held in the West Building Lecture Hall the week of March 4.<o:p></o:p></b></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l1 level1 lfo1'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Computer Science/Discrete Mathematics Seminar I – Monday, March 4<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l1 level1 lfo1'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Symplectic Dynamics/Geometry Seminar – Monday, March 4<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l1 level1 lfo1'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Computer Science/Discrete Mathematics Seminar II – Tuesday, March 5<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l1 level1 lfo1'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Working Group on Geometric Applications of the Langlands Correspondence – Wednesday, March 6<o:p></o:p></p><p class=MsoListParagraph><o:p> </o:p></p><p class=MsoNormal><b>The following seminars have been cancelled.<o:p></o:p></b></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Members' Seminar – Monday, March 4<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Variational Methods in Geometry Seminar – Tuesday, March 5 (both 1:00pm & 3:30pm talks)<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Symplectic Dynamics Working Group – Tuesday, March 5<o:p></o:p></p><p class=MsoListParagraph><o:p> </o:p></p><p class=MsoNormal>--------------<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><b>Monday, March 4<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Compactness of conformally compact Einstein manifolds in dimension 4<o:p></o:p></p><p class=MsoNormal>Speaker: Alice Chang, Princeton University<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 11:00am/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=142664"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142664</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>Computer Science/Discrete Mathematics Seminar I<o:p></o:p></p><p class=MsoNormal>Topic: Local and global expansion of graphs<o:p></o:p></p><p class=MsoNormal>Speaker: Yuval Peled, New York University<o:p></o:p></p><p class=MsoNormal>Time/Room: 11:00am - 12:00pm/<b>West Building Lecture Hall</b><o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=143187"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=143187</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>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Singularities of Teichmueller harmonic map flow<o:p></o:p></p><p class=MsoNormal>Speaker: Melanie Rupflin, University of Oxford<o:p></o:p></p><p class=MsoNormal>Time/Room: 11:30am - 12:30pm/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=142667"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142667</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>Seminar on Theoretical Machine Learning<o:p></o:p></p><p class=MsoNormal>Topic: FFJORD: Free-form Continuous Dynamics for Scalable Reversible Generative Models<o:p></o:p></p><p class=MsoNormal>Speaker: Will Grathwohl, University of Toronto<o:p></o:p></p><p class=MsoNormal>Time/Room: 12:15pm - 1:45pm/<b>Princeton University, CS 302</b><o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=139487"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=139487</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>Members' Seminar<o:p></o:p></p><p class=MsoNormal>Speaker: No seminar (workshop)<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:00pm - 3:00pm/No seminar (workshop)<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Self-similar solutions of mean curvature flow and entropy<o:p></o:p></p><p class=MsoNormal>Speaker: Jacob Bernstein, Johns Hopkins University; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:30pm - 3:30pm/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=142670"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142670</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>Symplectic Dynamics/Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Gysin sequences and cohomology ring of symplectic fillings<o:p></o:p></p><p class=MsoNormal>Speaker: Zhengyi Zhou, Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 3:30pm - 4:30pm/<b>West Building Lecture Hall</b><o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=143193"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=143193</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>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Kaehler constant scalar curvature metrics on blow ups and resolutions of singularities<o:p></o:p></p><p class=MsoNormal>Speaker: Claudio Arezzo, International Centre for Theoretical Physics, Trieste<o:p></o:p></p><p class=MsoNormal>Time/Room: 4:00pm - 5:00pm/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=142673"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142673</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>Joint IAS/Princeton University Algebraic Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Volumes and intersection theory on moduli spaces of Abelian differentials<o:p></o:p></p><p class=MsoNormal>Speaker: Dawei Chen, Boston College; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 5:00pm - 6:00pm/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=141992"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=141992</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>Tuesday, March 5<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: L^p curvatures : some analysis questions from gauge theory<o:p></o:p></p><p class=MsoNormal>Speaker: Tristan Rivière, ETH Zürich; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 11:00am/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=142679"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142679</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>Computer Science/Discrete Mathematics Seminar II<o:p></o:p></p><p class=MsoNormal>Topic: To Be Announced<o:p></o:p></p><p class=MsoNormal>Speaker: Swastik Kopparty, Rutgers University; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:30am - 12:30pm/<b>West Building Lecture Hall</b><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Spacetime positive mass theorem<o:p></o:p></p><p class=MsoNormal>Speaker: Lan-Hsuan Huang, University of Connecticut; von Neumann Fellow, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 11:30am - 12:30pm/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=142682"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142682</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>Variational Methods in Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Speaker: no seminar (Variational Methods in Geometry Workshop week)<o:p></o:p></p><p class=MsoNormal>Time/Room: 1:00pm - 3:00pm/no seminar (Variational Methods in Geometry Workshop week)<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Symplectic Dynamics Working Group<o:p></o:p></p><p class=MsoNormal>Speaker: No Seminar<o:p></o:p></p><p class=MsoNormal>Time/Room: 1:30pm - 3:00pm/No Seminar<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Periodic Geodesics and Geodesic Nets on Riemannian Manifolds<o:p></o:p></p><p class=MsoNormal>Speaker: Regina Rotman, University of Toronto; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:30pm - 3:30pm/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=142685"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142685</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>Variational Methods in Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Speaker: no seminar (Variational Methods in Geometry Workshop week)<o:p></o:p></p><p class=MsoNormal>Time/Room: 3:30pm - 5:30pm/no seminar (Variational Methods in Geometry Workshop week)<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Liouville Equations and Functional Determinants<o:p></o:p></p><p class=MsoNormal>Speaker: Andrea Malchiodo, Scuola Normale Superiore<o:p></o:p></p><p class=MsoNormal>Time/Room: 4:00pm - 5:00pm/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=142676"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142676</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, March 6<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Normalized harmonic map flow<o:p></o:p></p><p class=MsoNormal>Speaker: Michael Struwe, ETH Zürich<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 11:00am/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=142691"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142691</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>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Loop products, closed geodesics and self-intersections<o:p></o:p></p><p class=MsoNormal>Speaker: Nancy Hingston, The College of New Jersey<o:p></o:p></p><p class=MsoNormal>Time/Room: 11:30am - 12:30pm/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=142694"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142694</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>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Nature of some stationary varifolds near multiplicity 2 tangent planes<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: 2:30pm - 3:30pm/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=142688"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142688</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>Working Group on Geometric Applications of the Langlands Correspondence<o:p></o:p></p><p class=MsoNormal>Speaker: Daniel Litt, University of Georgia; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 3:30pm - 5:30pm/<b>West Building Lecture Hall</b><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Existence and uniqueness of Green's function to a nonlinear Yamabe problem<o:p></o:p></p><p class=MsoNormal>Speaker: Yanyan Li, Rutgers University<o:p></o:p></p><p class=MsoNormal>Time/Room: 4:00pm - 5:00pm/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=142700"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142700</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>Mathematical Conversations<o:p></o:p></p><p class=MsoNormal>Topic: From Celestial Mechanics to the Arnold Conjectures<o:p></o:p></p><p class=MsoNormal>Speaker: Umberto Hryniewicz, Universidade Federal do Rio de Janeiro; von Neumann Fellow, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 6:00pm - 7:30pm/Dilworth Room<o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=136645"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=136645</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><b><span lang=FR><o:p> </o:p></span></b></p><p class=MsoNormal><b>Thursday, March 7<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Compactness and finiteness theorems (almost) without curvature<o:p></o:p></p><p class=MsoNormal>Speaker: Gerard Besson, Université de Grenoble<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 11:00am/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=142703"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142703</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>Venkatesh Working Group<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 12:00pm/<b>West Building Lecture Hall</b><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: One-cycle sweepout estimates of essential surfaces in closed Riemannian manifolds<o:p></o:p></p><p class=MsoNormal><span lang=FR>Speaker: Stéphane Sabourau, Université Paris-Est Créteil<o:p></o:p></span></p><p class=MsoNormal>Time/Room: 11:30am - 12:30pm/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=142706"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142706</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>Analysis Seminar<o:p></o:p></p><p class=MsoNormal>Topic: TBD<o:p></o:p></p><p class=MsoNormal>Speaker: TBD<o:p></o:p></p><p class=MsoNormal>Time/Room: 1:00pm - 2:00pm/Simonyi Hall 101<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Working Seminar in Algebraic Number Theory<o:p></o:p></p><p class=MsoNormal>Speaker: tba<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:15pm - 3:15pm/<b>Princeton University</b><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: $L^2$ curvature for surfaces in Riemannian manifolds<o:p></o:p></p><p class=MsoNormal>Speaker: Ernst Kuwert, University of Freiburg<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:30pm - 3:30pm/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=142709"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142709</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>Joint IAS/Princeton University Number Theory Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Special cycles on orthogonal Shimura varieties<o:p></o:p></p><p class=MsoNormal>Speaker: Eugenia Rosu, University of Arizona<o:p></o:p></p><p class=MsoNormal>Time/Room: 4:30pm - 5:30pm/<b>Princeton University, Fine Hall 214</b><o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=139909"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=139909</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>Friday, March 8<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Ricci flows that attain their initial data weakly<o:p></o:p></p><p class=MsoNormal>Speaker: Peter Topping, University of Warwick<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 11:00am/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=142712"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142712</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>Workshop on Geometric Functionals: Analysis and Applications<o:p></o:p></p><p class=MsoNormal>Topic: Filling metric spaces<o:p></o:p></p><p class=MsoNormal>Speaker: Alexander Nabutovsky, University of Toronto; Member, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 11:30am - 12:30pm/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=142715"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142715</span></a><o:p></o:p></p><p class=MsoNormal><o:p> </o:p></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>1 Compactness of conformally compact Einstein manifolds in dimension 4 <br> Alice Chang <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: Given a class of conformally compact Einstein manifolds with boundary, we are interested to study the compactness of the class under some local and non-local boundary constraints. I will report some joint work with Yuxin Ge and Jie Qing including compactness results which are improvements of the earlier conditions obtained by Chang-Ge and compactness results under perturbation conditions when the L2 norm of the Weyl curvature is small. As a by product, we will derive the global uniqueness of conformally compact Einstein metrics on the 4-Ball constructed in the earlier work of Graham-Lee.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142664">http://www.math.ias.edu/seminars/abstract?event=142664</a><br><br>2 Local and global expansion of graphs <br> Yuval Peled <br><br><br><o:p></o:p></p><p class=MsoNormal>The emerging theory of High-Dimensional Expansion suggests a number of inherently different notions to quantify expansion of simplicial complexes. We will talk about the notion of local spectral expansion, that plays a key role in recent advances in PCP theory, coding theory and counting complexity. Our focus is on bounded-degree complexes, where the problems can be stated in a graph-theoretic language: <br><br>Let $G$ be a graph. For a vertex $v \in G$, we denote by $G_v$ the subgraph of $G $ that is induced by the neighbors of $v$. We say that $G$ is $(a,b)$-regular if (I) $G$ is $a$-regular and (II) $G_v$ is $b$-regular for every vertex $v$. We analyse the spectral expansion of $(a,b)$-regular graphs: <br><br>What is the largest spectral gap in the adjacency operator of an $(a,b)$-regular graph $G$? What is the relation between the local expansion of the graphs ${G_v : v \in G}$ and the global expansion of $G$? We will also present a new construction of $(a,b)$-regular local-and-global expanders. <br><br>Joint work with Michael Chapman and Nati Linial.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=143187">http://www.math.ias.edu/seminars/abstract?event=143187</a><br><br>3 Singularities of Teichmueller harmonic map flow <br> Melanie Rupflin <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: We discuss singularities of Teichmueller harmonic map flow, which is a geometric flow that changes maps from surfaces into branched minimal immersions, and explain in particular how winding singularities of the map component can lead to singular behaviour of the metric component.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142667">http://www.math.ias.edu/seminars/abstract?event=142667</a><br><br>4 FFJORD: Free-form Continuous Dynamics for Scalable Reversible Generative Models <br> Will Grathwohl <br><br><br><o:p></o:p></p><p class=MsoNormal>A promising class of generative models maps points from a simple distribution to a complex distribution through an invertible neural network. Likelihood-based training of these models requires restricting their architectures to allow cheap computation of Jacobian determinants. Alternatively, the Jacobian trace can be used if the transformation is specified by an ordinary differential equation. In this paper, we use Hutchinson's trace estimator to give a scalable unbiased estimate of the log-density. The result is a continuous-time invertible generative model with unbiased density estimation and one-pass sampling, while allowing unrestricted neural network architectures. We demonstrate our approach on high-dimensional density estimation, image generation, and variational inference, achieving the state-of-the-art among exact likelihood methods with efficient sampling.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=139487">http://www.math.ias.edu/seminars/abstract?event=139487</a><br><br>5 Self-similar solutions of mean curvature flow and entropy <br> Jacob Bernstein <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: Colding-Minicozzi introduced a natural entropy for hypersurfaces in euclidean space that is non-increasing under the mean curvature flow (MCF) and is a natural measure of the hypersurface's geometric complexity. In particular, hypersurfaces of low entropy turn out to be "simple" in various senses. This phenomena is most striking for self-similar solutions of MCF and I will discuss recent results illustrating this. This is all joint work with Lu Wang.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142670">http://www.math.ias.edu/seminars/abstract?event=142670</a><br><br>6 Gysin sequences and cohomology ring of symplectic fillings <br> Zhengyi Zhou <br><br><br><o:p></o:p></p><p class=MsoNormal>It is conjectured that contact manifolds admitting flexible fillings have unique exact fillings. In this talk, I will show that exact fillings (with vanishing first Chern class) of a flexibly fillable contact (2n-1)-manifold share the same product structure on cohomology if one of the multipliers is of even degree smaller than n-1. The main argument uses Gysin sequences from symplectic cohomology twisted by sphere bundles.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=143193">http://www.math.ias.edu/seminars/abstract?event=143193</a><br><br>7 Kaehler constant scalar curvature metrics on blow ups and resolutions of singularities <br> Claudio Arezzo <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: After recalling the gluing construction for Kaehler constant scalar curvature and extremal (`a la Calabi) metrics starting from a compact or ALE orbifolds with isolated singularities, I will show how to compute the Futaki invariant of the adiabatic classes in this setting, extending previous work by Stoppa, Szekelyhidi and Odaka. Besides giving new existence and non-existence results, the connection with the Tian-Yau-Donaldson Conjecture and the K-stability of the resolved manifold will be discussed and the relevance towards the interpretation of the ADM mass for Kaehler manifolds.The original part of this talk will cover joint works with A. Della Vedova, R. Lena, K. Corrales and L. Mazzieri.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142673">http://www.math.ias.edu/seminars/abstract?event=142673</a><br><br>8 Volumes and intersection theory on moduli spaces of Abelian differentials <br> Dawei Chen <br><br><br><o:p></o:p></p><p class=MsoNormal>Computing volumes of moduli spaces has significance in many fields. For instance, Witten's conjecture regarding intersection numbers on the Deligne–Mumford moduli space of stable Riemann surfaces has a fascinating connection to the Weil–Petersson volume, which motivated Mirzakhani to give a proof via Teichmueller theory, hyperbolic geometry, and symplectic geometry. The initial two other proofs of Witten's conjecture by Kontsevich and by Okounkov–Pandharipande also used various ideas in combinatorial ribbon graphs, Gromov–Witten theory, and Hurwitz theory. In this talk I will introduce an analogue of Witten's intersection numbers on moduli spaces of Abelian differentials to compute the Masur–Veech volumes induced by the flat metric associated with Abelian differentials. This is joint work with Martin Moeller, Adrien Sauvaget, and Don Zagier (arXiv:1901.01785).<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=141992">http://www.math.ias.edu/seminars/abstract?event=141992</a><br><br>9 L^p curvatures : some analysis questions from gauge theory <br> Tristan Rivière <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract : What are the possible limits of smooth curvatures with uniformly bounded $L^p$ norms ?<o:p></o:p></p><p class=MsoNormal>We shall see that the attempts to give a satisfying answer to this natural question from the calculus of variation of gauge theory brings us to numerous analysis challenges.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142679">http://www.math.ias.edu/seminars/abstract?event=142679</a><br><br>10 Spacetime positive mass theorem <br> Lan-Hsuan Huang <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: The spacetime positive mass theorem says that an asymptotically flat initial data set with the dominant energy condition must have a timelike energy-momentum vector, unless the initial data set is in the Minkowski spacetime. We will review backgrounds and recent progress toward this statement. <o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142682">http://www.math.ias.edu/seminars/abstract?event=142682</a><br><br>11 Periodic Geodesics and Geodesic Nets on Riemannian Manifolds <br> Regina Rotman <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: I will talk about periodic geodesics, geodesic loops, and geodesic nets on Riemannian manifolds. More specifically, I will discuss some curvature-free upper bounds for compact manifolds and the existence results for non-compact manifolds. In particular, geodesic nets turn out to be useful for proving results about geodesic loops and periodic geodesics.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142685">http://www.math.ias.edu/seminars/abstract?event=142685</a><br><br>12 Liouville Equations and Functional Determinants <br> Andrea Malchiodo <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: Functional Determinants are quantities constructed out of spectra of conformally covariant operators, and are explicit in dimension two and four, due to formulas by Polyakov and Branson-Oersted. Extremizing them in a conformal class amounts to solving Liouville equations with principal parts of different order but all scaling invariant. We discuss some existence, uniqueness, non-uniqueness results and some open problems. This is joint work with M.Gursky and P.Esposito. <br><br> <o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142676">http://www.math.ias.edu/seminars/abstract?event=142676</a><br><br>13 Normalized harmonic map flow <br> Michael Struwe <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: Finding non-constant harmonic 3-spheres for a closed target manifold N is a prototype of a super-critical variational problem. In fact, the <br>direct method fails, as the infimum of the Dirichlet energy in any homotopy class of maps from the 3-sphere to any closed N is zero; moreover, the <br>harmonic map heat flow may blow up in finite time, and even the identity map from the 3-sphere to itself is not stable under this flow. <br><br>To overcome these difficulties, we propose the normalized harmonic map flow as a new tool, and we show that for this flow the identity map <br>from the 3-sphere to itself now, indeed, is stable; moreover, the flow converges to a harmonic 3-sphere also when we perturb the target <br>geometry. While our results are strongest in the perturbative setting, we also outline a possible global theory.<br><br> <o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142691">http://www.math.ias.edu/seminars/abstract?event=142691</a><br><br>14 Loop products, closed geodesics and self-intersections <br> Nancy Hingston <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: Let M be a compact Riemannian manifold. Morse theory for the energy function on the free loopspace LM of M gives a link between geometry and topology, between the growth of the index of the iterates of closed geodesics on M, and the algebraic structure given by the Chas-Sullivan product on the homology of LM. I will discuss this link, and a new geometric property of the loop coproduct: the nonvanishing of the kth iterate of the coproduct on a homology class ensures the existence of a loop with a (k+1)-fold intersection in every representative of the class. No knowledge of loop products will be assumed. Joint work with Nathalie Wahl.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142694">http://www.math.ias.edu/seminars/abstract?event=142694</a><br><br>15 Nature of some stationary varifolds near multiplicity 2 tangent planes <br> Neshan Wickramasekera <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: It is a basic open question in geometric measure theory to understand regularity of a stationary integral varifold. Even a.e. regularity remains an open question. The central issue is analyzing the varifold near a point Z with a tangent plane of multiplicity q > 1. The talk will focus on the analytic machinery developed recently to address this question when q=2 for two cases: (i) the varifold corresponds to a Lipschitz two-valued graph of arbitrary codimension (joint work with S. Becker-Kahn) (ii) the varifold has codimension 1, stable regular part and no density 3/2 points near Z (this last condition is met if e.g. the varifold corresponds to a rectifiable current).<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142688">http://www.math.ias.edu/seminars/abstract?event=142688</a><br><br>16 Existence and uniqueness of Green's function to a nonlinear Yamabe problem <br> Yanyan Li <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: For a given finite subset S of a compact Riemannian manifold (M; g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and<br>sufficient condition for the existence and uniqueness of a conformal metric on $M \setminus S$ such that each point of S corresponds to an asymptotically flat end and<br>that the Schouten tensor of the new conformal metric belongs to the boundary of the given cone. This is a joint work with Luc Nguyen.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142700">http://www.math.ias.edu/seminars/abstract?event=142700</a><br><br>17 From Celestial Mechanics to the Arnold Conjectures <br> Umberto Hryniewicz <br><br><br><o:p></o:p></p><p class=MsoNormal>The study of the planar-circular-restricted 3-body problem led to Poincaré's "last geometric theorem", nowadays known as the Poincaré-Birkhoff theorem. It is a fixed point theorem for certain area-preserving annulus homeomorphisms. Birkhoff's proof did not allow for generalizations, and we had to wait until the 1960's when Arnold realized that the Poincaré-Birkhoff theorem (in the smooth case) is a consequence of a certain conjecture on the number of fixed points of Hamiltonian diffeomorphisms. The conjecture was one among others of the same flavor, and they motivated the invention of Floer theory. In this talk I would like to give more details on this remarkable chain of events.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=136645">http://www.math.ias.edu/seminars/abstract?event=136645</a><br><br>18 Compactness and finiteness theorems (almost) without curvature <br> Gerard Besson <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract : It is a joint work with G. Courtois, S. Gallot and A.Sambusetti. We prove a compactness theorem for metric spaces with anupper bound on the entropy and other conditions that will be discussed.Several finiteness results will be drawn. It is a work in progress.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142703">http://www.math.ias.edu/seminars/abstract?event=142703</a><br><br>19 One-cycle sweepout estimates of essential surfaces in closed Riemannian manifolds <br> Stéphane Sabourau <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: We present new-curvature one-cycle sweepout estimates in Riemannian geometry, both on surfaces and in higher dimension. More precisely, we derive upper bounds on the length of one-parameter families of one-cycles sweeping out essential surfaces in closed Riemannian manifolds. In particular, we show that there exists a homotopically substantial one-cycle sweepout of the essential sphere in the complex projective space, endowed with an arbitrary Riemannian metric, whose one-cycle length is bounded in terms of the volume (or diameter) of the manifold. This is the first estimate on sweepout volume in higher dimension without curvature assumption.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142706">http://www.math.ias.edu/seminars/abstract?event=142706</a><br><br>20 $L^2$ curvature for surfaces in Riemannian manifolds <br> Ernst Kuwert <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: For surfaces immersed into a compact Riemannian manifold, we consider the curvature functional given by the $L^2$ integral of the second fundamental form. We discuss an an area bound in terms of that functional, with application to the existence of minimizers (joint work with V. Bangert).<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142709">http://www.math.ias.edu/seminars/abstract?event=142709</a><br><br>21 Special cycles on orthogonal Shimura varieties <br> Eugenia Rosu <br><br><br><o:p></o:p></p><p class=MsoNormal>Extending on the work of Kudla-Millson and Yuan-Zhang-Zhang, together with Yott we are constructing special divisors for a specific GSpin Shimura variety. We further construct a generating series that has as coefficients the cohomology classes corresponding to the special divisors classes Z(x, g)_K on the GSpin Shimura variety M_K and show the modularity of the generating series in the cohomology group over C.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=139909">http://www.math.ias.edu/seminars/abstract?event=139909</a><br><br>22 Ricci flows that attain their initial data weakly <br> Peter Topping <br><br><br><o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142712">http://www.math.ias.edu/seminars/abstract?event=142712</a><br><br>23 Filling metric spaces <br> Alexander Nabutovsky <br><br><br><o:p></o:p></p><p class=MsoNormal>Abstract: Uryson k-width of a metric space X measures how close X is to being k-dimensional. Several years ago Larry Guth proved that if M is a closed n-dimensional manifold, and the volume of each ball of radius 1 in M does not exceed a certain small<o:p></o:p></p><p class=MsoNormal>constant e(n), then the Uryson (n-1)-width of M is less than 1. This result is a significant generalization of the famous Gromov's inequality relating the volume and the filling radius that plays a central role in systolic geometry.<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>Guth asked if one can generalize his result in two directions: first, from closed manifolds to n-dimensional metric spaces using the Hausdorff measure instead of volume, and, then, to metric spaces of any dimension using n-dimensional Hausdorff<o:p></o:p></p><p class=MsoNormal>content instead of Hausdorff measure.<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>If true, such a result will immediately lead to interesting new inequalities even for closed Riemannian manifolds.<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>In my talk I am are going to discuss Guth's theorem and an ongoing joint project towards resolution of Guth's problem.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142715">http://www.math.ias.edu/seminars/abstract?event=142715</a><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>