[iasmath-semru] Mathematics Seminars -- Week of September 25, 2017

Fri Sep 22 15:00:22 EDT 2017

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Mathematics Seminars
Week of September 25, 2017

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To view mathematics in titles and abstracts, please click on the talk's link.
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Monday, September 25

Members' Seminar
		No seminar: Welcome Day
Speaker: 	No seminar: Welcome Day
Time/Room: 	 -

Tuesday, September 26

Computer Science/Discrete Mathematics Seminar II
Topic: 		Lifting theorems in communication complexity and applications
Speaker: 	Toniann Pitassi, University of Toronto; Visiting Professor, School of Mathematics
Time/Room: 	10:30am - 12:30pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=129004

Short talks by postdoctoral members
Topic: 		Chromatic homotopy theory
Speaker: 	Irina Bobkova, Member, School of Mathematics
Time/Room: 	2:00pm - 2:15pm/S-101

Topic: 		Computing maps between Fukaya categories via Morse trees
Speaker: 	Nathaniel Bottman, Member, School of Mathematics
Time/Room: 	2:15pm - 2:30pm/S-101

Topic: 		Homotopy type theory: working invariantly in homotopy theory
Speaker: 	Guillaume Brunerie, Member, School of Mathematics
Time/Room: 	2:30pm - 2:45pm/S-101

Topic: 		On the horizontal non-vanishing modulo $p$
Speaker: 	Ashay Burungale, Member, School of Mathematics
Time/Room: 	4:00pm - 4:15pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=132517

Topic: 		Towards optimal Ramsey graphs and randomness extractors
Speaker: 	Eshan Chattopadhyay, Member, School of Mathematics
Time/Room: 	4:15pm - 4:30pm/S-101

Topic: 		Period map: past, present and the future
Speaker: 	Gao Chen, Member, School of Mathematics
Time/Room: 	4:30pm - 4:45pm/S-101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=132523

Wednesday, September 27

Short talks by postdoctoral members
Topic: 		Moduli interpretations for noncongruence modular curves
Speaker: 	William Chen, Member, School of Mathematics
Time/Room: 	2:00pm - 2:15pm/S-101

Topic: 		The geometry and topology of minimal surfaces in $\mathbb R^3$ of finite total curvature
Speaker: 	Otis Chodosh, Member, School of Mathematics
Time/Room: 	2:15pm - 2:30pm/S-101

Topic: 		Analysis and design of convolutional networks via hierarchical tensor decompositions
Speaker: 	Nadav Cohen, Member, School of Mathematics
Time/Room: 	2:30pm - 2:45pm/S-101

Topic: 		Diophantine analysis and special sets
Speaker: 	Vesselin Dimitrov, Member, School of Mathematics
Time/Room: 	4:00pm - 4:15pm/S-101

Topic: 		Topological structure of the spectrum for ergodic SchrÃ¶dinger operators
Speaker: 	Rui Han, Member, School of Mathematics
Time/Room: 	4:15pm - 4:30pm/S-101

Topic: 		Representations of $p$-adic groups
Speaker: 	Jessica Fintzen, Member, School of Mathematics
Time/Room: 	4:30pm - 4:45pm/S-101

Thursday, September 28

Working Group on Algebraic Number Theory
Speaker: 	To Be Announced
Time/Room: 	2:00pm - 4:00pm/Jadwin 111, Princeton University

Joint IAS/Princeton University Number Theory Seminar
Topic: 		Kloosterman sums and Siegel zeros
Speaker: 	James Maynard, Member, School of Mathematics
Time/Room: 	4:30pm - 5:30pm/Fine 214, Princeton University
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=131076

Friday, September 29

Short talks by postdoctoral members
Topic: 		Mechanized reasoning in mathematics
Speaker: 	Kuen-Bang Hou (Favonia), Member, School of Mathematics
Time/Room: 	11:00am - 11:15am/S-101

Topic: 		Liquid crystals and interacting dimer models
Speaker: 	Ian Jauslin, Member, School of Mathematics
Time/Room: 	11:15am - 11:30am/S-101

Topic: 		Joint equidistribution of CM points
Speaker: 	Ilya Khayutin, Member, School of Mathematics
Time/Room: 	11:30am - 11:45am/S-101

Topic: 		Some problems related to partial sums of Fourier integrals
Speaker: 	Jongchon Kim, Member, School of Mathematics
Time/Room: 	2:00pm - 2:15pm/S-101

Topic: 		Categorical actions in geometry and representation theory
Speaker: 	Clemens Koppensteiner, Member, School of Mathematics
Time/Room: 	2:15pm - 2:30pm/S-101

Topic: 		The quantum best separable state problem and classical connections
Speaker: 	Pravesh Kothari, Member, School of Mathematics
Time/Room: 	2:30pm - 2:45pm/S-101

1 Lifting theorems in communication complexity and applications
    Toniann Pitassi

Communication complexity studies the minimal amount of information two 
parties need to exchange to compute a joint function of their inputs. 
Results, especially lower bounds in this basic model found applications 
in many other areas of computer science.

Lifting is a technique for proving lower bounds and separation results 
in communication complexity. A typical lifting theorem shows how a lower 
bound on the ``query complexity'' of a function (usually, a far simpler 
task) can be used to obtain a communication lower bound on a related 
function. Proofs of lifting theorems require interesting combinations of 
analytic, information theoretic and combinatorial techniques, and are 
applicable to a variety of communication models, and beyond.

In the first hour we will give a tutorial on several influential lifting 
theorems that have been proven in the last 5-10 years, and show how they 
have directly led to the resolution of many open problems in 
communication complexity, circuit complexity (including extension 
complexity) and proof complexity. Time permitting, I will discuss two 
new lifting theorems in the second hour. The first lifts randomized 
decision tree complexity to randomized communication complexity (joint 
work with Mika Goos and Thomas Watson) and the second one lifts 
Nullstellensatz complexity to a rank measure that captures monotone span 
programs (joint work with Robert Robere).

No special background will be assumed.

http://www.math.ias.edu/seminars/abstract?event=129004

2 On the horizontal non-vanishing modulo $p$
    Ashay Burungale

We plan to describe recent results on horizontal non-vanishing of 
Dirichlet L-values (joint with H.-S. Sun) and Rankin--Selberg L-values 
(joint with H. Hida and Y. Tian) modulo $p$.

http://www.math.ias.edu/seminars/abstract?event=132517

3 Period map: past, present and the future
    Gao Chen

I will start from a simple statement: the radius of a sphere determines 
the shape of it. This simple statement has been generalized to the study 
of Riemann surfaces, K3 surfaces, HyperkÃ¤hler manifolds and other 
important objects. Recently, the conjecture about the generalization to 
the subject of special holonomy has drawn many attentions.

http://www.math.ias.edu/seminars/abstract?event=132523

4 Kloosterman sums and Siegel zeros
    James Maynard

Kloosterman sums arise naturally in the study of the distribution of 
various arithmetic objects in analytic number theory. The 'vertical' 
Sato-Tate law of Katz describes their distribution over a fixed field 
$\mathbb F_p$, but the equivalent 'horizontal' distribution as the base 
field varies over primes remains open. We describe work showing 
cancellation in the sum over primes if there are exceptional 
Siegel-Landau zeros. This is joint work with Sary Drappeau, relying on a 
fun blend of ideas from algebraic geometry, the spectral theory of 
automorphic forms and sieve theory.

http://www.math.ias.edu/seminars/abstract?event=131076

IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars