Previous Conferences & Workshops

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...

Mar
21
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Representations are sheaves' for Legendrian 2-weaves
Kevin Sackel
4:00pm|Fine 314 and Remote Access

 

Given a trivalent plane graph embedded in the Euclidean plane (up to isotopy), Treumann and Zaslow constructed and studied a certain associated Legendrian surface embedded in standard contact $R^{5}$, nowadays referred to as a Legendrian 2-weave...

Mar
21
2022

Members' Colloquium

On the unpredictability of fluid motions
Dallas Albritton
2:00pm|Simonyi Hall 101 and Remote Access

The fundamental equations of fluid dynamics exhibit non-uniqueness. Is this a mathematical fluke, or do the equations fail to uniquely predict the motion of fluids? In this colloquium, we present recent mathematical and physical progress toward...