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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>Mathematics Seminars<o:p></o:p></p><p class=MsoNormal>Week of March 18, 2019<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:<o:p></o:p></b></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 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]>Talk information added to the 3/19 Symplectic Dynamics Working Group.<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 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]>There will be an additional Symplectic Dynamics/Geometry Seminar on Wednesday, 3/20. <o:p></o:p></p><p class=MsoNormal><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 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<o:p></o:p></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 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]>Joint IAS/Princeton University Number Theory Seminar<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><o:p> </o:p></p><p class=MsoNormal><b>Monday, March 18<o:p></o:p></b></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: Minimal Sets and Properties of Feral Pseudoholomorphic Curves<o:p></o:p></p><p class=MsoNormal>Speaker: Joel Fish, University of Massachusetts Boston<o:p></o:p></p><p class=MsoNormal>Time/Room: 3:30pm - 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=137961"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=137961</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>Speaker: no seminar<o:p></o:p></p><p class=MsoNormal>Time/Room: 5:00pm - 6:00pm/no seminar<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>Tuesday, March 19<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Computer Science/Discrete Mathematics Seminar II<o:p></o:p></p><p class=MsoNormal>Topic: A Brief Tour of Proof Complexity: Lower Bounds and Open Problems<o:p></o:p></p><p class=MsoNormal>Speaker: Toniann Pitassi, University of Toronto; Visiting Professor, School of Mathematics<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:30am - 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=129148"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=129148</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>Topic: Gap and index estimates for Yang-Mills connections in 4-d<o:p></o:p></p><p class=MsoNormal>Speaker: Matthew Gursky, University of Notre Dame<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=141224"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=141224</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 Working Group<o:p></o:p></p><p class=MsoNormal>Topic: Properties of Feral Pseudoholomorphic Curves<o:p></o:p></p><p class=MsoNormal>Speaker: Joel Fish, University of Massachusetts Boston<o:p></o:p></p><p class=MsoNormal>Time/Room: 1:30pm - 3:00pm/Simonyi Hall Classroom 114<o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=143024"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=143024</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>Topic: Multiplicity One Conjecture in Min-max theory<o:p></o:p></p><p class=MsoNormal>Speaker: Xin Zhou, University of California, Santa Barbara; 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=141227"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=141227</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 20<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>BYOP@Lunch Working Group<o:p></o:p></p><p class=MsoNormal>Time/Room: 12:30pm - 1:30pm/Dilworth Room<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Symplectic Dynamics/Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Equivariant and nonequivariant contact homology<o:p></o:p></p><p class=MsoNormal>Speaker: Jo Nelson, Rice University<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:00pm - 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=143827"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=143827</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>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>Mathematical Conversations<o:p></o:p></p><p class=MsoNormal>Topic: from dynamics to contact topology and back<o:p></o:p></p><p class=MsoNormal>Speaker: Jo Nelson<o:p></o:p></p><p class=MsoNormal>Time/Room: 6:00pm - 7:30pm/White Levy 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=141584"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=141584</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><b><span lang=FR><o:p> </o:p></span></b></p><p class=MsoNormal><b><span lang=FR><o:p> </o:p></span></b></p><p class=MsoNormal><b>Thursday, March 21<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Venkatesh Working Group<o:p></o:p></p><p class=MsoNormal>Time/Room: 10:00am - 12:00pm/Simonyi Hall 101<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Analysis Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Front propagation in a nonlocal reaction-diffusion equation<o:p></o:p></p><p class=MsoNormal>Speaker: Olga Turanova, University of California, Los Angeles; Visitor, School of Mathematics<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><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=142513"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142513</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 Seminar in Algebraic Number Theory<o:p></o:p></p><p class=MsoNormal>Speaker: No Seminar<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:15pm - 4:15pm/No Seminar<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Joint IAS/Princeton University Number Theory Seminar<o:p></o:p></p><p class=MsoNormal>Speaker: TBD<o:p></o:p></p><p class=MsoNormal>Time/Room: 4:30pm - 5:30pm/TBD<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>1 An Application of the Universality Theorem for Tverberg Partitions <br> Imre Barany <o:p></o:p></p><p class=MsoNormal>We show that, as a consequence of a remarkable new result of Attila P\'or on universal Tverberg partitions, any large-enough set $P$ of points in $\Re^d$ has a $(d+2)$-sized subset whose Radon point has half-space depth at least $c_d \cdot |P|$, where $c_d \in (0, 1)$ depends only on $d$. We then give an application of this result to computing weak $\eps$-nets by random sampling. Joint work with Nabil Mustafa.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=128912">http://www.math.ias.edu/seminars/abstract?event=128912</a><br><br>2 Tracking trajectories in Hamiltonian systems using holomorphic curve tools. <br> Barney Bramham <o:p></o:p></p><p class=MsoNormal>The goal is to describe how techniques from symplectic dynamics can be used to study orbit travel in three dimensions, for systems like the restricted 3-body problem from celestial mechanics. The pseudo-holomorphic curve theory initiated by Hofer, Wysocki and Zehnder gives a decomposition of the space into regions whose boundaries are surfaces transverse to the flow. (Pseudo-holomorphic curves are special minimal surfaces). One can label the regions A, B, C etc and form a directed graph. This gives us a natural language to discuss trajectories of orbits, a topic notorious for its complexity. Certain interesting features arise from this structure. I will describe how semi-local considerations lead to more global information and symbolic dynamics. This is joint work with Umberto Hryniewicz and Gerhard Knieper. The talk will address a general mathematical audience.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=129431">http://www.math.ias.edu/seminars/abstract?event=129431</a><br><br>3 Minimal Sets and Properties of Feral Pseudoholomorphic Curves <br> Joel Fish <o:p></o:p></p><p class=MsoNormal>I will discuss some current joint work with Helmut Hofer, in which we define and establish properties of a new class of pseudoholomorhic curves (feral J-curves) to study certain divergence free flows in dimension three. In particular, we show that if H is a smooth, proper, Hamiltonian on R^4, then no non-empty regular energy level of H is minimal. That is, the flow of the associated Hamiltonian vector field has a trajectory which is not dense.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=137961">http://www.math.ias.edu/seminars/abstract?event=137961</a><br><br>4 A Brief Tour of Proof Complexity: Lower Bounds and Open Problems <br> Toniann Pitassi <o:p></o:p></p><p class=MsoNormal>I will give a tour of some of the key concepts and ideas in proof complexity. First, I will define all standard propositional proof systems using the sequent calculus which gives rise to a clean characterization of proofs as computationally limited two-player games. I will also define algebraic and semi-algebraic systems (SOS, IPS, Polynomial Calculus). <br><br>Then we will see one or two (mostly) self-contained lower bounds, and briefly mention how these lower bounds have been bootstrapped to prove lower bounds for several classes of algorithms: Extended Formulations of linear and semidefinite programs, monotone span programs, and monotone circuits. Throughout, I will highlight some of my favorite longstanding challenges/mysteries in the area.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=129148">http://www.math.ias.edu/seminars/abstract?event=129148</a><br><br>5 Gap and index estimates for Yang-Mills connections in 4-d <br> Matthew Gursky <o:p></o:p></p><p class=MsoNormal>In this talk I want to discuss two related questions about the variational structure of the Yang-Mills functional in dimension four. The first is the question of 'gap' estimates; i.e., determining an energy threshold below which any solution must be an instanton, hence a minimizer for the Y-M energy. The second question is about non-minimal solutions, and in this case the problem is to estimate the index of a solution. I will present some recent work (joint with Kelleher and Streets) that attempts to address each question when the base manifold has positive scalar curvature. I will also mention some other geometric applications in 4-d.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=141224">http://www.math.ias.edu/seminars/abstract?event=141224</a><br><br>6 Properties of Feral Pseudoholomorphic Curves <br> Joel Fish <o:p></o:p></p><p class=MsoNormal>I will discuss some technical details regarding properties of feral pseuodoholomorphic curves, specifically those properties arising from stretching constructions and as components of limit buildings arising from attempts to compactify certain moduli spaces of finite energy curves. The focus will be on those properties necessary to show the existence of a closed invariant subset of any smooth compact hypersurface in R^4. These properties will include exponential area bounds, the connected-local area bound, and asymptotic curvature bounds.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=143024">http://www.math.ias.edu/seminars/abstract?event=143024</a><br><br>7 Multiplicity One Conjecture in Min-max theory <br> Xin Zhou <o:p></o:p></p><p class=MsoNormal>I will present a proof with some substantial details of the Multiplicity One Conjecture in Min-max theory, raised by Marques and Neves. It says that in a closed manifold of dimension between 3 and 7 with a bumpy metric, the min-max minimal hypersurfaces associated with the volume spectrum introduced by Gromov, Guth, Marques-Neves are all two-sided and have multiplicity one. <br><br>In particular, I will discuss three main parts of the proof, including: the formulation of multiple-parameter min-max construction for hypersurfaces with prescribed mean curvature (PMC), an approximation scheme (by PMC min-max theory) of min-max construction of minimal hypersurfaces for relative homotopy class of boundaries, and a topological argument to reduce min-max construction for free homotopy class of mod-2 cycles to that for relative homotopy class of boundaries.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=141227">http://www.math.ias.edu/seminars/abstract?event=141227</a><br><br>8 Equivariant and nonequivariant contact homology <br> Jo Nelson <o:p></o:p></p><p class=MsoNormal>I will discuss joint work with Hutchings which constructs nonequivariant and a family floer equivariant version of contact homology. Both theories are generated by two copies of each Reeb orbit over Z and capture interesting torsion information. I will then explain how one can recover the original cylindrical theory proposed by Eliashberg-Givental-Hofer via our construction.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=143827">http://www.math.ias.edu/seminars/abstract?event=143827</a><br><br>9 from dynamics to contact topology and back <br> Jo Nelson <o:p></o:p></p><p class=MsoNormal>This is a light survey of the origins of contact topology and its applications to dynamics. We will use anecdotes and images to illustrate ideas.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=141584">http://www.math.ias.edu/seminars/abstract?event=141584</a><br><br>10 Front propagation in a nonlocal reaction-diffusion equation <br> Olga Turanova <o:p></o:p></p><p class=MsoNormal>We consider a reaction-diffusion equation with a nonlocal reaction term. This PDE arises as a model in evolutionary ecology. We study the regularity properties and asymptotic behavior of its solutions.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142513">http://www.math.ias.edu/seminars/abstract?event=142513</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><p class=MsoNormal><o:p> </o:p></p></div></body></html>