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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><o:p> </o:p></p><p class=MsoNormal>Mathematics Seminars<o:p></o:p></p><p class=MsoNormal>Week of April 1, 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'>ˇ<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b>There will be no Seminar on Theoretical Machine Learning on Monday, April 1.<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'>ˇ<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b>There will be an additional Analysis Seminar on Friday, April 5, from 2:00pm-3:00pm in Simonyi 101.<o:p></o:p></b></p><p class=MsoListParagraph><b><o:p> </o:p></b></p><p class=MsoNormal><b>Upcoming:<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'>ˇ<span style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b>Week of April 8 - Marston Morse Lecture Series with speaker Laure Saint-Raymond (see attached flyer for more information).<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><b>Monday, April 1<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Computer Science/Discrete Mathematics Seminar I<o:p></o:p></p><p class=MsoNormal>Topic: Fooling polytopes<o:p></o:p></p><p class=MsoNormal>Speaker: Li-Yang Tan, Stanford University<o:p></o:p></p><p class=MsoNormal>Time/Room: 11:00am - 12:00pm/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=128918"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=128918</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>Speaker: No Seminar<o:p></o:p></p><p class=MsoNormal>Time/Room: 12:15pm - 1:45pm/No Seminar<o:p></o:p></p><p class=MsoNormal><b><o:p> </o:p></b></p><p class=MsoNormal>Members' Seminar<o:p></o:p></p><p class=MsoNormal>Topic: A recent perspective on invariant theory<o:p></o:p></p><p class=MsoNormal>Speaker: Viswambhara Makam, Member, School of Mathematics<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=129440"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=129440</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: The Arnold conjecture via Symplectic Field Theory polyfolds<o:p></o:p></p><p class=MsoNormal>Speaker: Ben Filippenko, University of California, Berkeley<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=137967"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=137967</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: Motivic Euler products and motivic height zeta functions<o:p></o:p></p><p class=MsoNormal>Speaker: Margaret Bilu, New York University<o:p></o:p></p><p class=MsoNormal>Time/Room: 5:00pm - 6:00pm/Princeton University, Fine Hall 314<o:p></o:p></p><p class=MsoNormal><span lang=FR>Abstract Link: </span><a href="http://www.math.ias.edu/seminars/abstract?event=142004"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142004</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, April 2<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>Speaker: Li-Yang Tan, Stanford University<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><o:p> </o:p></p><p class=MsoNormal>Variational Methods in Geometry Seminar<o:p></o:p></p><p class=MsoNormal>Speaker: Costante Bellettini, Princeton University; 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><o:p> </o:p></p><p class=MsoNormal>Symplectic Dynamics Working Group<o:p></o:p></p><p class=MsoNormal>Time/Room: TBD<o:p></o:p></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: Constrained deformations of positive scalar curvature metrics<o:p></o:p></p><p class=MsoNormal>Speaker: Alessandro Carlotto, ETH Zürich; 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=141239"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=141239</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>Wednesday, April 3<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>Mathematical Conversations<o:p></o:p></p><p class=MsoNormal>Topic: A glamorous movie star, the "bad boy" of music, and the development of spread spectrum communications<o:p></o:p></p><p class=MsoNormal>Speaker: Mark Goresky, 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=136657"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=136657</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>Thursday, April 4<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: Higher Regularity of the Singular Set in the Thin Obstacle Problem.<o:p></o:p></p><p class=MsoNormal>Speaker: Yash Jhaveri, Member, 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=142519"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=142519</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>Topic: p-adic L-functions in one and two variables<o:p></o:p></p><p class=MsoNormal>Speaker: Kim Tuan Do, Princeton University<o:p></o:p></p><p class=MsoNormal>Time/Room: 2:15pm - 4:15pm/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=140064"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=140064</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: Singular moduli for real quadratic fields<o:p></o:p></p><p class=MsoNormal>Speaker: Jan Vonk, Oxford University<o:p></o:p></p><p class=MsoNormal>Time/Room: 4:30pm - 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=139921"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=139921</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, April 5<o:p></o:p></b></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Analysis Seminar<o:p></o:p></p><p class=MsoNormal>Topic: Two-dimensional random field Ising model at zero temperature<o:p></o:p></p><p class=MsoNormal>Speaker: Jian Ding, The Wharton School, The University of Pennsylvania<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=143873"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=143873</span></a><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 Fooling polytopes <br> Li-Yang Tan <br><br><br><o:p></o:p></p><p class=MsoNormal>We give a pseudorandom generator that fools $m$-facet polytopes over $\{0,1\}^n$ with seed length $\mathrm{polylog}(m) \cdot \mathrm{log}(n)$. The previous best seed length had superlinear dependence on $m$. An immediate consequence is a deterministic quasipolynomial time algorithm for approximating the number of solutions to any $\{0,1\}$-integer program. Joint work with Ryan O'Donnell and Rocco Servedio.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=128918">http://www.math.ias.edu/seminars/abstract?event=128918</a><br><br>2 A recent perspective on invariant theory <br> Viswambhara Makam <br><br><br><o:p></o:p></p><p class=MsoNormal>Invariant theory is a fundamental subject in mathematics, and is potentially applicable whenever there is symmetry at hand (group actions). In recent years, new problems and conjectures inspired by complexity have come to light. In this talk, I will describe some of these new problems, and discuss some positive and negative results regarding them.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=129440">http://www.math.ias.edu/seminars/abstract?event=129440</a><br><br>3 The Arnold conjecture via Symplectic Field Theory polyfolds <br> Ben Filippenko <br><br><br><o:p></o:p></p><p class=MsoNormal>I will explain a polyfold proof, joint with Katrin Wehrheim, of the Arnold conjecture: the number of 1-periodic orbits of a nondegenerate 1-periodic Hamiltonian on a closed symplectic manifold is at least the sum of the Betti numbers. Our proof is a polyfold construction of the PSS morphisms between Morse and Floer theory. To construct these maps, we first identify the PSS moduli spaces as fiber products of Morse moduli spaces with Symplectic Field Theory (SFT) moduli spaces. We then use SFT polyfolds to perturb these fiber products into general position. This perturbation required the development of general fiber product constructions in polyfold theory which are of interest for other applications.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=137967">http://www.math.ias.edu/seminars/abstract?event=137967</a><br><br>4 Motivic Euler products and motivic height zeta functions <br> Margaret Bilu <br><br><br><o:p></o:p></p><p class=MsoNormal>The Grothendieck group of varieties over a field k is the quotient of the free abelian group of isomorphism classes of varieties over k by the so-called cut-and-paste relations. It moreover has a ring structure coming from the product of varieties over k. Many problems in number theory have a natural, more geometric counterpart involving elements of this ring. I will focus on Manin's conjecture and on its motivic analog: the latter predicts the behavior of moduli spaces of curves of large degree on some algebraic varieties. It may be formulated in terms of the generating series of the classes of these moduli spaces in the Grothendieck ring, called the motivic height zeta function. This will lead me to explain how some power series with coefficients in the Grothendieck ring can be endowed with an Euler product decomposition and how this can be used to give a proof of the motivic version of Manin's conjecture for equivariant compactifications of vector groups.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142004">http://www.math.ias.edu/seminars/abstract?event=142004</a><br><br>5 Constrained deformations of positive scalar curvature metrics <br> Alessandro Carlotto <br><br>I will present a series of results concerning the interplay between two different curvature conditions, in the special case when these are given by pointwise inequalities on the scalar curvature of a manifold, and the mean curvature of its boundary. Such results lie at two conceptual levels: on the one hand at the level of compatibility (i.e. is it possible to simultaneously satisfy the bounds, and what are the resulting topological constraints), on the other hand at the level of moduli space structure (i.e. what can one say about the homotopy type of the associated space of metrics, when not empty, quotiented by the diffeomorphism group of the background manifold).<o:p></o:p></p><p class=MsoNormal>This lecture is based on joint work with Chao Li. <a href="http://www.math.ias.edu/seminars/abstract?event=141239">http://www.math.ias.edu/seminars/abstract?event=141239</a><br><br>6 A glamorous movie star, the "bad boy" of music, and the development of spread spectrum communications <br> Mark Goresky <br><br><br><o:p></o:p></p><p class=MsoNormal>An unlikely couple devised one of the first spread spectrum communication systems. Today these systems use sophisticated mathematics and are ubiquitous. This is a verbatim repeat (by popular demand) of a talk I gave about 6 years ago.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=136657">http://www.math.ias.edu/seminars/abstract?event=136657</a><br><br>7 Higher Regularity of the Singular Set in the Thin Obstacle Problem. <br> Yash Jhaveri <br><br><br><o:p></o:p></p><p class=MsoNormal>In this talk, I will give an overview of some of what is known about solutions to the thin obstacle problem, and then move on to a discussion of a higher regularity result on the singular part of the free boundary. This is joint work with Xavier Fernández-Real.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=142519">http://www.math.ias.edu/seminars/abstract?event=142519</a><br><br>8 p-adic L-functions in one and two variables <br> Kim Tuan Do <br><br><br><o:p></o:p></p><p class=MsoNormal>Introduce the L-function, and then the p-adic L-function, of a cusp form, and the of a Hida family of cups forms. What we need is in Fukaya-Kato Sections 4.4-4.5. See also: Mazur-Tate-Teitelbaum and Mazur's "Anomalous eigenforms" note.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=140064">http://www.math.ias.edu/seminars/abstract?event=140064</a><br><br>9 Singular moduli for real quadratic fields <br> Jan Vonk <br><br><br><o:p></o:p></p><p class=MsoNormal>The theory of complex multiplication describes finite abelian extensions of imaginary quadratic number fields using singular moduli, which are special values of modular functions at CM points. I will describe joint work with Henri Darmon in the setting of real quadratic fields, where we construct p-adic analogues of singular moduli through classes of rigid meromorphic cocycles. I will discuss p-adic counterparts for our proposed RM invariants of classical relations between singular moduli and analytic families of Eisenstein series.<o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=139921">http://www.math.ias.edu/seminars/abstract?event=139921</a><br><br>10 Two-dimensional random field Ising model at zero temperature <br> Jian Ding <br><br>I will discuss random field Ising model on $Z^2$ where the external field is given by i.i.d. Gaussian variables with mean zero and positive variance. I will present a recent result that at zero temperature the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary. This is based on joint work with Jiaming Xia. <o:p></o:p></p><p class=MsoNormal><a href="http://www.math.ias.edu/seminars/abstract?event=143873">http://www.math.ias.edu/seminars/abstract?event=143873</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>