Previous Conferences & Workshops

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
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...

Nov
09
2022

Mathematical Conversations

The Crooked Straight
6:00pm|Birch Garden, Simons Hall

Scalar curvature geometry is characterized by remarkable extremality and rigidity properties due to minimal hypersurfaces on the one hand and harmonic spinor fields on the other. Are there hidden connections between these viewpoints? We do not know...

Nov
09
2022

Hermann Weyl Lectures

The Duffin-Schaeffer Conjecture
2:00pm|Simonyi 101 and Remote Access

Given any non-negative function $\f:\mathbb{Z}\rightarrow\mathbb{R}$, it follows from basic ergodic ideas that either 100% of real numbers $\alpha$ have infinitely many rational approximations $a/q$ with $a,q$ coprime and $|\alpha-a/q|

I'll describe a recent resolution of this conjecture, which recasts the problem in combinatorial language, and then uses a general 'structure vs randomness' principle combined with an iterative argument to solve this combinatorial problem.

Nov
09
2022

Special Year Learning Seminar

Topics in Model Theory: Stability, Amalgamation, and Finite Fields
10:30am|Simonyi 101 and Remote Access

The goal of this learning seminar is to explain some of the core model theoretic notions which are behind Tao’s algebraic regularity lemma about definable graphs in finite fields (Tao 2012).

We will assume minimal knowledge of model theory and...

Nov
08
2022

Special Year Research Seminar

Measure Growth in Compact Simple Lie Groups
Yifan Jing
3:30pm|Simonyi 101 and Remote Access

The celebrated product theorem says if A is a generating subset of a finite simple group of Lie type G, then |AAA| \gg \min \{ |A|^{1+c}, |G| \}. In this talk, I will show that a similar phenomenon appears in the continuous setting: If A is a subset...

Nov
08
2022

Special Year Research Seminar

Deviation Spectrum of Ergodic Integrals for Locally Hamiltonian Flows on Surfaces
Krzysztof Fraczek
2:00pm|Simonyi 101 and Remote Access

The talk will consists of a long historical introduction to  the topic of deviation
of ergodic averages for locally Hamiltonian flows on compact surafces  as well as
some current results obtained in collaboration with Corinna Ulcigrai  and Minsung...

Nov
08
2022

Computer Science/Discrete Mathematics Seminar II

Introduction to Natural Quasirandomness: Unique Colorability and Orderability
10:30am|Simonyi Hall 101 and Remote Access

The theory of graph quasirandomness studies sequences of graphs that "look like" samples of the Erdős--Rényi random graph. The upshot of the theory is that several ways of comparing a sequence with the random graph turn out to be equivalent. For...