Previous Conferences & Workshops

Mar
27
2024

Mathematical Conversations

Matrix rigidity
Zeev Dvir
6:00pm|Dilworth Room

A matrix M is rigid if one needs to change it in many places in order to reduce its rank significantly. While a random matrix M (say over a finite field) is rigid with high probability, coming up with explicit constructions of such matrices is still...

Mar
27
2024

Special Year Seminar

On Endomorphisms of THH
Maxime Ramzi
2:00pm|Simonyi 101 and Remote Access

Topological Hochschild homology is an important invariant, closely related to algebraic K-theory, and can be seen as a noncommutative analogue of de Rham chains.

In this talk, I will describe various computations of the ring/monoid of endomorphisms...

Mar
25
2024

Members' Colloquium

Fourier Uniformity of Multiplicative Functions
2:00pm|Simonyi 101 and Remote Access

The Fourier uniformity conjecture seeks to understand what multiplicative functions can have large Fourier coefficients on many short intervals. We will discuss recent progress on this problem and explain its connection with the distribution of...

Mar
25
2024

Symplectic Geometry Seminar

New Algebraic Invariants of Legendrian Links
Lenhard Ng
12:30pm|Simonyi 101 and Remote Access

For the past 25 years, a key player in contact topology has been the Floer-theoretic invariant called Legendrian contact homology. I'll discuss a package of new invariants for Legendrian knots and links that builds on Legendrian contact homology and...

Mar
22
2024

Joint IAS/PU Analysis Seminar

Hilbert’s Sixth Problem for Nonlinear Waves
Zaher Hani
4:00pm|Princeton University Fine Hall 314

Hilbert’s sixth problem asks for a mathematically rigorous justification of the macroscopic laws of statistical physics from the microscopic laws of dynamics. The classical setting of this problem is the justification of Boltzmann’s kinetic equation...

Mar
22
2024

Condensed Learning Seminar

Analytic Adic Spaces and Descent
2:30pm|Princeton University, Fine Hall 214

For a general complete Huber pair $(A,A^+)$, define the analytic ring $(A,A^+)_\blacksquare$. Prove that the associations $\mathrm{Spa}\, (A,A^+)\mapsto \mathcal{D}((A,A^+)_\blacksquare)$, $\mathrm{Spa}\, (A,A^+)\mapsto \mathcal{D}^\omega((A,A^+)_...

Mar
22
2024

Joint IAS/PU Analysis Seminar

Classification of Kink Clusters for Scalar Fields on the Line
Andy Lawrie
2:30pm|Princeton University Fine Hall 314

I will present joint work with Jacek Jendrej. We consider classical scalar fields in dimension 1+1 with a symmetric double-well self-interaction potential. Examples of such equations are the phi-4 model and the sine-Gordon equation. These nonlinear...

Mar
22
2024

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

The Giroux Correspondence in Arbitrary Dimensions
Ko Honda
9:15am|Remote Access

Around twenty years ago Emmanuel Giroux formulated the equivalence of contact structures and open book decompositions with Weinstein pages up to stabilization. We establish the Giroux correspondence in full generality using the recent developments...

Mar
21
2024

Joint PU/IAS Number Theory

Vanishing of Selmer Groups for Siegel Modular Forms
Sam Mundy
4:30pm|Simonyi 101 and Remote Access

Let π be a cuspidal automorphic representation of Sp_2n over Q which is holomorphic discrete series at infinity, and χ a Dirichlet character. Then one can attach to π an orthogonal p-adic Galois representation ρ of dimension 2n+1. Assume ρ is...