Previous Conferences & Workshops

Oct
21
2020

Mathematical Conversations

The Mumford-Shah conjecture
Silvia Ghinassi
5:30pm|Remote Access

The Mumford-Shah functional has been introduced by Mumford and Shah in 1989 as a variational model for image reconstruction. Since then, it has been widely studied both from a theoretical and an applied point of view. In this talk we will focus on...

Oct
21
2020

Geometric and Modular Representation Theory Seminar

(Equivariant) Cohomology of the affine Grassmannian and Ginzburg’s picture
3:00pm|Simonyi Hall 101 and Remote Access

This is the second talk in a series of three talks on the derived Satake. I will give an overview of an article by Ginzburg which laid the foundational ideas for this equivalence.

Oct
21
2020

Stability and Testability

Stability and testability - a computational perspective
Jonathan Mosheiff
11:00am|Remote Access

In this talk we survey the recent connection (a joint work with Becker and Lubotzky) between certain group theoretic notions related to stability, and a novel class of problems from the realm of property testing. Consider the computational problem...

Oct
20
2020

SL2 Seminar

Representations of GL_2(F_q) in defining characteristic: a number-theorist's perspective
Matthew Emerton
5:00pm|Remote Access

In this talk I hope to explain how the representation theory of $GL_n(F_q)$ (with q being a power of p) in char. p, and also in mixed characteristic $(0,p)$, plays an important role in the theory of Galois representations and the Langlands program...

Oct
20
2020

Computer Science/Discrete Mathematics Seminar II

The threshold for the square of a Hamilton cycle
10:30am|Remote Access - see Zoom link below

We will talk about a recent result of Jeff Kahn, Bhargav Narayanan, and myself stating that the threshold for the random graph G(n,p) to contain the square of a Hamilton cycle is 1/sqrt n, resolving a conjecture of Kühn and Osthus from 2012. For...

Oct
19
2020

Analysis Seminar

Spectral Statistics of Lévy Matrices
4:30pm|Simonyi Hall 101 and Remote Access

Lévy matrices are symmetric random matrices whose entries are independent alpha-stable laws. Such distributions have infinite variance, and when alpha is less than 1, infinite mean. In the latter case these matrices are conjectured to exhibit a...

Oct
19
2020

Members’ Seminar

Log-concavity, matroids and expanders
2:00pm|Simonyi Hall 101 and Remote Access

Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids...

Oct
19
2020

Computer Science/Discrete Mathematics Seminar I

A Parallel Repetition Theorem for the GHZ Game
Justin Holmgren
11:15am|Simonyi Hall 101 and Remote Access - see Zoom link below

We prove that parallel repetition of the (3-player) GHZ game reduces the value of the game polynomially fast to 0. That is, the value of the GHZ game repeated in parallel t times is at most $t^{-\Omega(1)}. Previously, only a bound of roughly 1 /...

Oct
16
2020

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

Mirror symmetry for chain type polynomials
Umut Varolgunes
9:15am|Remote Access

I will start by explaining Takahashi's homological mirror symmetry (HMS) conjecture regarding invertible polynomials, which is an open string reinterpretation of Berglund-Hubsch-Henningson mirror symmetry. In joint work with A. Polishchuk, we...