[iasmath-seminars] Mathematics Seminars-Week of April 1, 2019
Kristina Phillips
kphillips at ias.edu
Fri Mar 29 17:01:37 EDT 2019
INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540
Mathematics Seminars
Week of April 1, 2019
--------------
Please note:
· There will be no Seminar on Theoretical Machine Learning on
Monday, April 1.
· There will be an additional Analysis Seminar on Friday, April 5,
from 2:00pm-3:00pm in Simonyi 101.
Upcoming:
· Week of April 8 - Marston Morse Lecture Series with speaker Laure
Saint-Raymond (see attached flyer for more information).
--------------
Monday, April 1
Computer Science/Discrete Mathematics Seminar I
Topic: Fooling polytopes
Speaker: Li-Yang Tan, Stanford University
Time/Room: 11:00am - 12:00pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=128918>
http://www.math.ias.edu/seminars/abstract?event=128918
Seminar on Theoretical Machine Learning
Speaker: No Seminar
Time/Room: 12:15pm - 1:45pm/No Seminar
Members' Seminar
Topic: A recent perspective on invariant theory
Speaker: Viswambhara Makam, Member, School of Mathematics
Time/Room: 2:00pm - 3:00pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=129440>
http://www.math.ias.edu/seminars/abstract?event=129440
Symplectic Dynamics/Geometry Seminar
Topic: The Arnold conjecture via Symplectic Field Theory
polyfolds
Speaker: Ben Filippenko, University of California, Berkeley
Time/Room: 3:30pm - 5:00pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=137967>
http://www.math.ias.edu/seminars/abstract?event=137967
Joint IAS/Princeton University Algebraic Geometry Seminar
Topic: Motivic Euler products and motivic height zeta
functions
Speaker: Margaret Bilu, New York University
Time/Room: 5:00pm - 6:00pm/Princeton University, Fine Hall 314
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=142004>
http://www.math.ias.edu/seminars/abstract?event=142004
Tuesday, April 2
Computer Science/Discrete Mathematics Seminar II
Speaker: Li-Yang Tan, Stanford University
Time/Room: 10:30am - 12:30pm/Simonyi Hall 101
Variational Methods in Geometry Seminar
Speaker: Costante Bellettini, Princeton University; Member,
School of Mathematics
Time/Room: 1:00pm - 3:00pm/Simonyi Hall 101
Symplectic Dynamics Working Group
Time/Room: TBD
Variational Methods in Geometry Seminar
Topic: Constrained deformations of positive scalar
curvature metrics
Speaker: Alessandro Carlotto, ETH Zürich; Member, School of
Mathematics
Time/Room: 3:30pm - 5:30pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=141239>
http://www.math.ias.edu/seminars/abstract?event=141239
Wednesday, April 3
Working Group on Geometric Applications of the Langlands Correspondence
Speaker: Kiran Kedlaya, University of California, San Diego;
Visiting Professor, School of Mathematics
Time/Room: 3:30pm - 5:30pm/Simonyi Hall 101
Mathematical Conversations
Topic: A glamorous movie star, the "bad boy" of music,
and the development of spread spectrum communications
Speaker: Mark Goresky, School of Mathematics
Time/Room: 6:00pm - 7:30pm/Dilworth Room
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=136657>
http://www.math.ias.edu/seminars/abstract?event=136657
Thursday, April 4
Venkatesh Working Group
Time/Room: 10:00am - 12:00pm/Simonyi Hall 101
Analysis Seminar
Topic: Higher Regularity of the Singular Set in the Thin
Obstacle Problem.
Speaker: Yash Jhaveri, Member, School of Mathematics
Time/Room: 1:00pm - 2:00pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=142519>
http://www.math.ias.edu/seminars/abstract?event=142519
Working Seminar in Algebraic Number Theory
Topic: p-adic L-functions in one and two variables
Speaker: Kim Tuan Do, Princeton University
Time/Room: 2:15pm - 4:15pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=140064>
http://www.math.ias.edu/seminars/abstract?event=140064
Joint IAS/Princeton University Number Theory Seminar
Topic: Singular moduli for real quadratic fields
Speaker: Jan Vonk, Oxford University
Time/Room: 4:30pm - 5:30pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=139921>
http://www.math.ias.edu/seminars/abstract?event=139921
Friday, April 5
Analysis Seminar
Topic: Two-dimensional random field Ising model at zero
temperature
Speaker: Jian Ding, The Wharton School, The University of
Pennsylvania
Time/Room: 2:00pm - 3:00pm/Simonyi Hall 101
Abstract Link: <http://www.math.ias.edu/seminars/abstract?event=143873>
http://www.math.ias.edu/seminars/abstract?event=143873
1 Fooling polytopes
Li-Yang Tan
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.
http://www.math.ias.edu/seminars/abstract?event=128918
2 A recent perspective on invariant theory
Viswambhara Makam
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.
http://www.math.ias.edu/seminars/abstract?event=129440
3 The Arnold conjecture via Symplectic Field Theory polyfolds
Ben Filippenko
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.
http://www.math.ias.edu/seminars/abstract?event=137967
4 Motivic Euler products and motivic height zeta functions
Margaret Bilu
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.
http://www.math.ias.edu/seminars/abstract?event=142004
5 Constrained deformations of positive scalar curvature metrics
Alessandro Carlotto
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).
This lecture is based on joint work with Chao Li.
http://www.math.ias.edu/seminars/abstract?event=141239
6 A glamorous movie star, the "bad boy" of music, and the development of
spread spectrum communications
Mark Goresky
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.
http://www.math.ias.edu/seminars/abstract?event=136657
7 Higher Regularity of the Singular Set in the Thin Obstacle Problem.
Yash Jhaveri
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.
http://www.math.ias.edu/seminars/abstract?event=142519
8 p-adic L-functions in one and two variables
Kim Tuan Do
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.
http://www.math.ias.edu/seminars/abstract?event=140064
9 Singular moduli for real quadratic fields
Jan Vonk
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.
http://www.math.ias.edu/seminars/abstract?event=139921
10 Two-dimensional random field Ising model at zero temperature
Jian Ding
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.
http://www.math.ias.edu/seminars/abstract?event=143873
IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars
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