Previous Conferences & Workshops

Apr
01
2025

Joint IAS/PU Groups and Dynamics Seminar

Using Logic to Investigate Homeomorphism Groups of Manifolds
Thomas Koberda
4:30pm|Simonyi 101

It is a classical fact that countable groups of homeomorphisms of the interval and the circle are characterized by purely algebraic properties, namely linear and circular orderability. It remains a difficult and deep problem to understand countable...

Apr
01
2025

Analysis and Mathematical Physics

Lower Bounds on Lyapunov Exponents for Linear PDEs Driven by Stochastic Navier-Stokes
Samuel Punshon-Smith
2:30pm|Simonyi Hall 101 and Remote Access

I will present recent work with Hairer, Rosati and Yi establishing quantitative lower bounds for the top Lyapunov exponent of linear PDEs driven by two-dimensional stochastic Navier-Stokes equations on the torus. For both the advection-diffusion...

Apr
01
2025

Symplectic Geometry Seminar

Quantitative Contact Big Fiber Theorem
Jun Zhang
1:00pm|Simonyi 101 and Remote Access

In this talk, we will present a proof of contact big fiber theorem, based on invariants read off from contact Hamiltonian Floer homology. The theorem concludes that any contact involutive map on a Liouville fillable contact manifold admits at least...

Apr
01
2025

Computer Science/Discrete Mathematics Seminar II

Locally Testable Codes with the Multiplication Property from High-dimensional Expanders
10:30am|Simonyi 101 and Remote Access

A locally testable code (LTC) is an error-correcting code equipped with a tester T that, given an input string x, queries only a small number of positions and rejects x with probability proportional to its distance from the code. Classic examples of...

Mar
31
2025

Joint IAS/PU Arithmetic Geometry

Fourier theory for families of p-divisible rigid analytic groups
Pol van Hoften
3:35pm|*Princeton University, Fine Hall 224*

Classical Fourier theory describes measures on a locally compact abelian group in terms of functions on its Pontryagin dual. In this talk, I will explain an analogous theory for p-divisible rigid analytic groups (in the sense of Fargues) that...

Mar
31
2025

Members' Colloquium

Selmer Groups and Hilbert's Tenth Problem
1:00pm|Simonyi 101 and Remote Access

Selmer groups are a cohomological tool used to reduce the task of finding solutions of certain diophantine equations to easier field and modular arithmetic. I'll explain how this works in down to earth terms and give some concrete applications...

Mar
31
2025

Computer Science/Discrete Mathematics Seminar I

Improved Private Information Retrieval Schemes from Matching Vectors and Derivatives
Swastik Kopparty
10:30am|Simonyi Hall 101 and Remote Access

Private Information Retrieval (PIR) is a method for a user to interact with t non-colluding servers and read some entry of a database of size n without revealing to the servers anything about which entry of the database was read. After a long line...

Mar
28
2025

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

Persistence of Unknottedness of Lagrangian Intersections
Yin Li
9:15am|Remote Access

The double bubble plumbing, first studied by Smith and Wemyss, is a Stein neighborhood of two Lagrangian 3-spheres intersecting cleanly along an unknotted circle in some 6-dimensional symplectic manifold. Depending on the identification of the...

Mar
27
2025

Joint PU/IAS Number Theory

Algebraic Integers of Bounded Height and Given Galois Group
Andy O’Desky
3:30pm|Simonyi 101 and Remote Access

How many algebraic integers of bounded height have a minimal polynomial with a given Galois group? One approach to this problem is via Malle's conjecture. In this talk we will discuss an alternative approach using a construction with the Galois...

Mar
27
2025

Special Year Seminar II

Expressive Curves
Sergey Fomin
11:00am|Simonyi 101

A real plane algebraic curve C is called expressive if its defining polynomial has the smallest number of critical points allowed by the topology of the set of real points of C. We give a necessary and sufficient criterion for expressivity (subject...