Previous Conferences & Workshops

Nov
05
2025

Special Year Learning Seminar

Introduction to Differential Galois Theory
2:00pm|Simonyi 101

Differential Galois groups are algebraic groups that describe symmetries of some systems of differential equations. The solutions considered can live in any differential field and thus a natural framework to consider such symmetries is the setting...

Nov
05
2025

What is...?

What are... Entropy Methods in Combinatorics?
12:45pm|Simonyi 101 and Remote Access

The Shannon entropy of a discrete random variable quantifies the number of bits of information conveyed by sampling that variable. Although originally introduced in the context of information theory, techniques relying on Shannon entropy have been...

Nov
04
2025

Special Joint IAS/PU Group Theory Afternoon

Howe Duality Over Finite Fields
Sophie Kriz
5:00pm|Simonyi 101

In this talk, I will completely describe the decomposition of an oscillator representation under the tensor embedding of a product of a symplectic and orthogonal group in the case of finite fields via a correspondence proposed by Roger Howe...

Nov
04
2025

Special Joint IAS/PU Group Theory Afternoon

A Look at Representations of $\text{SL}(2,q)$ Via the Lens of Size: Motivations, Rank, Eta Correspondence
Shamgar Gurevich
3:15pm|Simonyi Classroom 114

Harmonic analysis studies functions on the real line by expanding them as sums of frequencies (exponentials) and analyzing how each term contributes to the whole. In many applications—such as speech recognition—only the low frequencies matter.

Over...

Nov
04
2025

Analysis and Mathematical Physics

The Relation Between the Geodesic Flow and Finite-Area Holomorphic Quadratic Differentials on Infinite(-genus) Riemann Surfaces
Dragomir Saric
2:30pm|Simonyi Hall 101 and Remote Access

The Hopf-Tsuji-Sullivan theorem states that the geodesic flow on (an infinite) Riemann surface is ergodic iff the Poincare series is divergent iff the Brownian motion is recurrent. Infinite Riemann surfaces can be built by gluing infinitely many...

Nov
04
2025

Joint IAS/PU Symplectic Geometry Seminar

Ahlfors Currents and Symplectic Non-Hyperbolicity
Spencer Cattalani
1:00pm|Simonyi 101 and Remote Access

Complex lines are a class of pseudoholomorphic curves which generalize rational curves. Applications of complex lines to symplectic geometry have been proposed, but they remain poorly understood. In this talk, I will describe a framework for...

Nov
04
2025

Computer Science/Discrete Mathematics Seminar II

No Exponential Quantum Speedup for SIS^inf Anymore
10:30am|Simonyi 101 and Remote Access

Given linear equations over a finite field and under infinity norm, the Short-Integer-Solution (SIS^inf) problem asks to find a solution where each entry is a small number.

In 2021, Chen, Liu, and Zhandry presented an efficient quantum algorithm for...

Nov
03
2025

Joint IAS/PU Arithmetic Geometry

Refined THH Over ku and Habiro Cohomology
Ferdinand Wagner
3:30pm|Simonyi 101 and Remote Access

By an observation of Efimov and Scholze, Efimov's theorem on the rigidity of localizing motives allows one to construct refinements of topological Hochschild homology and its variants. In this talk, I'll explain how this refinement works, sketch an...

Nov
03
2025

Members' Colloquium

A Dogged Pursuit for Satisfaction
1:30pm|Simonyi 101 and Remote Access

The SAT (Boolean Satisfiability) problem asks whether a given logical formula on $n$ Boolean variables has an assignment of true/false values to its variables that makes the formula true.  The P vs NP question is equivalent to asking whether SAT has...