Previous Conferences & Workshops

Mar
28
2022

Computer Science/Discrete Mathematics Seminar I

Linear cover time is exponentially unlikely
Quentin Dubroff
11:15am|Simonyi 101 and Remote Access

Proving a 2009 conjecture of Itai Benjamini, we show:  For any C, there is a > 0 such that for any simple random walk on an n-vertex graph G, the probability that the first Cn steps of the walk hit every vertex of G is at most exp[-an].  A first...

Mar
25
2022

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

Three 20-min research talks
Benoît Joly, Marco Castronovo and Agniva Roy
9:15am|Remote Access

Benoît Joly (Ruhr-Universität Bochum), Barcodes for Hamiltonian homeomorphisms of surfaces

In this talk, we will study the Floer Homology barcodes from a dynamical point of view. Our motivation comes from recent results in symplectic topology using...

Mar
24
2022

Joint IAS/Princeton University Number Theory Seminar

On the BSD conjecture for certain families of abelian varieties with rational torsion.
Emmanuel Lecouturier
4:30pm|Simonyi 101 and Remote Access

Let $N$ and $p$ $\geq 5$ be primes such that $p$ divides $N-1$. In his landmark paper on the Eisenstein ideal, Mazur proved the $p$-part of the BSD conjecture for the $p$-Eisenstein quotient $J^{(p)}$ of $J_0(N)$ over $\mathbf{Q}$. Using recent...

Mar
23
2022

Mathematical Conversations

The Weyl groupoid
Shifra Reif
6:00pm|Birch Garden, Simons Hall

Symmetric polynomials are often characterized as characters of modules over Lie algebras. Such characters are symmetric as they are invariant under the action of the Weyl group. In the "super case", this group generalizes to the Weyl groupoid. We...

Mar
23
2022

Arithmetic Groups

Canonical forms for free group automorphisms
Jean Pierre Mutanguha
11:00am|Simonyi 101 and Remote Access

The Nielsen-Thurston theory of surface homeomorphism can be thought of as a surface analogue to the Jordan Canonical Form.  I will discuss my progress in developing a similar decomposition for free group automorphisms. (Un)Fortunately, free group...

Mar
22
2022

Seminar in Analysis and Geometry

Level Sets of Weakly Lipschitz Functions
Bobby Wilson
2:00pm|Simonyi Hall 101 and Remote Access

We will discuss the regularity properties and size of generic level sets of functions that satisfy weak local Lipschitz conditions.

Mar
22
2022

Computer Science/Discrete Mathematics Seminar II

Localization schemes: A framework for proving mixing bounds for Markov chains
Ronen Eldan
10:30am|Simonyi Hall 101 and Remote Access

Two recent and seemingly-unrelated techniques for proving mixing bounds for Markov chains are:

(i) the framework of Spectral Independence, introduced by Anari, Liu and Oveis Gharan, and its numerous extensions, which have given rise to several...