Previous Conferences & Workshops

Nov
14
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Embedding Obstructions for Non-Toric Rational Surfaces from Newton-Okounkov Bodies
Ben Wormleighton
4:00pm|Simonyi 101 and Remote Access

ECH capacities have found many applications to symplectic embedding problems, most of which in the toric setting. I will discuss a new application of ECH to studying optimal embeddings for non-toric rational surfaces. The key convex geometric...

Nov
14
2022

Members' Colloquium

Algebraic K-theory and the Cyclotomic Trace
Ayelet Lindenstrauss
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

Projective modules over rings are the algebraic analogs of vector bundles; more precisely, they are direct summands of free modules. Some rings have non-free projective modules. For instance, the ideals of a number ring are projective, and for some...

Nov
14
2022

Computer Science/Discrete Mathematics Seminar I

Communication and Query Complexity of Bipartite Perfect Matching
Yuval Efron
11:15am|Simonyi 101 and Remote Access

In this talk, I'll discuss a recent result where we settle the complexities of the maximum-cardinality bipartite matching problem (BMM) up to poly-logarithmic factors in five models of computation:  The two-party communication, AND query, OR query...

Nov
11
2022

Probability Seminar

Limit Profiles of Reversible Markov Chains
Evita Nestoridi
3:30pm|Wolfensohn Hall and Remote Access

It all began with card shuffling. Diaconis and Shahshahani studied the random transpositions shuffle; pick two cards uniformly at random and swap them. They introduced a Fourier analysis technique to prove that it takes $1/2 n \log n$ steps to...

Nov
11
2022

Hermann Weyl Lectures

Half-isolated Zeros and the Density Hypothesis
James Maynard
2:00pm|Simonyi 101 and Remote Access

Many important consequences of the Riemann Hypothesis would remain true even if there were some zeros off the critical line, provided these exceptions to the Riemann Hypothesis are suitably rare. We can unconditionally prove some results on the...

Nov
11
2022

Probability Seminar

Mobility Edge for Lévy Matrices
Amol Aggarwal
11:15am|Simonyi 101 and Remote Access

Lévy matrices are symmetric random matrices whose entries are in the domain of attraction of an \alpha stable law. For \alpha 1, it had been predicted that these matrices exhibit an Anderson transition, also called a mobility edge, a point in the...

Nov
11
2022

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

A Microlocal Invitation to Lagrangian Fillings
Roger Casals
9:15am|Remote Access

We present recent developments in symplectic geometry and explain how they motivated new results in the study of cluster algebras. First, we introduce a geometric problem: the study of Lagrangian surfaces in the standard symplectic 4-ball bounding...

Nov
10
2022

Joint IAS/PU Number Theory Seminar

Congruences Between Modular Forms and the Categorical p-adic Langlands Program
Toby Gee
4:30pm|Princeton University, Fine Hall 224

I will attempt to give a gentle introduction to the categorical p-adic Langlands program and its connections to questions about congruences between modular forms.

Nov
10
2022

Verlinde Dimension Formula

Verlinde Dimension Formula for the Space of Conformal Blocks and the Moduli of G-bundles
Shrawan Kumar
10:15am|Simonyi 101 and Remote Access

Let G be a simply-connected complex semisimple algebraic group and let C be a smooth projective curve of any genus. Then, the moduli space of semistable G-bundles on C admits so called determinant line bundles. E. Verlinde conjectured a remarkable...