Previous Conferences & Workshops

Oct
20
2021

Arithmetic Groups

Groups with bounded generation: properties and examples
Andrei S. Rapinchuk
11:00am|Remote Access
After surveying some important consequences of the property of bounded generation (BG) dealing with SS-rigidity, the congruence subgroup problem, etc., we will focus on examples of boundedly generated groups. We will prove that every unimodular $(n...
Oct
19
2021

Seminar in Analysis and Geometry

The Shock Development Problem
Tristan Buckmaster
2:00pm|Simonyi Hall 101 and Remote Access

A fundamental problem in the theory of compressible fluid is to provide a precise description of shock formation and development from smooth initial data. In this talk, I will present recent work in collaboration with Drivas, Shkoller and Vicol on...

Oct
19
2021

Computer Science/Discrete Mathematics Seminar II

An Introduction to Determinantal Point Processes
John C Urschel
10:30am|Simonyi Hall 101 and Remote Access

A random point process is said to be determinantal if finite subset probabilities correspond to principal minors of some matrix. Determinantal point processes (DPPs) appear in a wide variety of settings, from random matrix theory to combinatorics...

Oct
18
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

Contractibility of the space of tight contact structures on $R^3$
Yakov Eliashberg
4:00pm|Simonyi Hall 101

30 years ago I proved that any tight contact structure on the 3-sphere is diffeomorphic to the standard one. I also optimistically claimed at the same paper that similar methods could be used to prove a multi-parametric version: the space of tight...

Oct
18
2021

Members' Colloquium

Higher order Fourier analysis and solving equations in dense sets
Sarah Peluse
2:00pm|Simonyi Hall 101 and Remote Access

Several of the most important problems in combinatorial number theory ask for the size of the largest subset of some abelian group or interval of integers lacking points in some arithmetic configuration. One example of such a question is "What is...

Oct
18
2021

Computer Science/Discrete Mathematics Seminar I

Sharp matrix concentration inequalities
11:15am|Simonyi Hall 101 and Remote Access

What does the spectrum of a random matrix look like when we make no assumption whatsoever about the covariance pattern of its entries?  It may appear hopeless that anything useful can be said at this level of generality. Nonetheless, a widely used...

Oct
15
2021

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Results on abundance of global surfaces of section
Umberto Hryniewicz
9:15am|Remote Access
One might ask if global surfaces of section (GSS) for Reeb flows in dimension 3 are abundant in two different senses. One might ask if GSS are abundant for a given Reeb flow, or if Reeb flows carrying some GSS are abundant in the set of all Reeb...
Oct
14
2021

Joint IAS/Princeton University Number Theory Seminar

Modularity and Heights of CM cycles on Kuga-Sato varieties
Congling Qiu
4:30pm|Fine Hall 214, Princeton University and Remote Access

We study CM cycles on Kuga-Sato varieties over $X(N)$ via theta lifting and relative trace formula. Our first result is the modularity of CM cycles, in the sense that the Hecke modules they generate are semisimple whose irreducible components are...

Oct
14
2021

Discussions in Analysis and Geometry

Reading seminar on papers of Honda-Huang and Breem-Christopher, exploring the notion of convexity in high dimensional contact geometry
2:00pm|Simonyi Hall 101 and Remote Access