Previous Conferences & Workshops

May
12
2022

The Celebration of Women in Mathematics

Bounds for subsets of $\mathbb{F}_p^n \times \mathbb{F}_p^n$ without L-shaped configurations
2:00pm|Simonyi Hall 101 and Remote Access

Abstract: I will discuss the difficult problem of proving reasonable bounds in the multidimensional generalization of Szemer\’edi’s theorem and describe a proof of such bounds for sets lacking nontrivial configurations of the form $(x,y), (x,y+z),...

May
10
2022

Seminar in Analysis and Geometry

Remarks on the long-time dynamics of 2D Euler
2:00pm|Simonyi Hall 101 and Remote Access

We will discuss some old and new results concerning the long-time behavior of solutions to the two-dimensional incompressible Euler equations.  Specifically, we discuss whether steady states can be isolated, wandering for solutions starting nearby...

May
10
2022

Computer Science/Discrete Mathematics Seminar II

Association schemes and codes I: The Delsarte linear program
10:30am|Simonyi Hall 101 and Remote Access

One of the central problems of coding theory is to determine the trade-off between the amount of information a code can carry (captured by its rate) and its robustness to resist message corruption (captured by its distance). On the existential side...

May
09
2022

Computer Science/Discrete Mathematics Seminar I

Polynomial Bounds on Parallel Repetition For All 3-Player Games with Binary Inputs
Kunal Mittal
11:15am|Simonyi 101 and Remote Access

Understanding the behavior of multi-player (multi-prover) games under parallel repetition is an important problem in theoretical computer science.

In a $k$-player game $G$, a referee chooses questions $(x^{1}, ..., x^{k})$ from a (publicly known)...

May
06
2022

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

Tate Homology and powered Flybys
Kevin Ruck
9:15am|Remote Access

In this talk, I want to show that in the planar circular restricted three body problem there are infinitely many symmetric consecutive collision orbits for all energies below the first critical energy value.  By using the Levi-Civita regularization...

May
05
2022

Joint IAS/Princeton University Number Theory Seminar

Applications of the Subspace Theorem in Group Theory
4:30pm|Remote Access and Fine 214

An abstract group is said to have the bounded generation property (BG) if it can be written as a product of finitely many cyclic subgroups. Being a purely combinatorial notion, bounded generation has close relation with many group theoretical...

May
05
2022

Topics in Analysis

Positive Lyapunov exponents and mixing in stochastic fluid flow. Part III
2:00pm|Simonyi Hall 101 and Remote Access

In this three-part lecture series, we will present a series of works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic mixing and enhanced dissipation properties of a passive tracer subject to the motion of an ergodic Markovian flow of...

May
04
2022

Mathematical Conversations

What persuades us to accept a proof as correct, and can computer learning help us in that?
5:30pm|Remote Access

Undergraduate mathematicians are taught Hilbert's dream that theorems should be built up from a solid axiomatic base, and that the whole structure of mathematics is (or should be) a solid verifiable whole. However, this is rather far from how...

May
04
2022

Mathematical Physics Seminar

Modular bootstrap, Segal's axioms and resolution of Liouville conformal field theory
Rémi Rhodes; Vincent Vargas
4:00pm|Simonyi Hall 101 and Remote Access

Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. Liouville theory appeared there under the form of a 2D Feynman path integral, which can be thought of as a measure (or expectation value) over the...