Previous Conferences & Workshops

Oct
15
2020

Joint IAS/Princeton University Number Theory Seminar

Heights and dynamics over arbitrary fields
Carney Alexander
4:30pm|Remote Access

Classically, heights are defined over number fields or transcendence degree one function fields. This is so that the Northcott property, which says that sets of points with bounded height are finite, holds. Here, expanding on work of Moriwaki and...

Oct
14
2020

Mathematical Conversations

Peg problems
Joshua Greene
5:30pm|Remote Access

I will discuss a little about the context and solution of the rectangular peg problem: for every smooth Jordan curve and rectangle in the Euclidean plane, one can place four points on the curve at the vertices of a rectangle similar to the one given...

Oct
14
2020

Geometric and Modular Representation Theory Seminar

An introduction to affine Grassmanians and the geometric Satake equivalence
3:00pm|Simonyi Hall 101 and Remote Access

This is the first talk in a series of three talks towards understanding Bezrukavnikov-Finkelberg's derived geometric Satake equivalence. In this talk, we recall the geometry of equal characteristic affine Grassmannians and some of the ingredients of...

Oct
14
2020

Stability and Testability

Introduction to stability and testability
11:00am|Remote Access

The talk will be an introduction and a road map to the various connections the topic has with other areas of math and CS.

Oct
13
2020

Computer Science/Discrete Mathematics Seminar II

Arithmetic progressions and spectral structure
Thomas Bloom
10:30am|Simonyi Hall 101 and Remote Access - see Zoom link below

How dense can a set of integers be while containing no three-term arithmetic progressions? This is one of the classical problems of additive combinatorics, and since the theorem of Roth in 1953 that such a set must have zero density, there has been...

Oct
12
2020

Analysis Seminar

Towards universality of the nodal statistics on metric graphs
4:30pm|Simonyi Hall 101 and Remote Access

The study of nodal sets of Laplace eigenfunctions has intrigued many mathematicians over the years. The nodal count problem has its origins in the works of Strum (1936) and Courant (1923) which led to questions that remained open to this day. One...

Oct
12
2020

Members’ Seminar

Stability, non-approximated groups and high-dimensional expanders
2:00pm|Simonyi Hall 101 and Remote Access

Several well-known open questions, such as: "are all groups sofic or hyperlinear?", have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $Sym(n)$ (in the sofic case) or the unitary groups $U(n)$...

Oct
12
2020

Computer Science/Discrete Mathematics Seminar I

Explicit near-fully X-Ramanujan graphs
Xinyu Wu
11:15am|Simonyi Hall 101 and Remote Access - see Zoom link below

In this talk I will introduce constructions of finite graphs which resemble some given infinite graph both in terms of their local neighborhoods, and also their spectrum. These graphs can be thought of as expander graphs with local constraints in a...