Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Dec
13
2022

Computer Science/Discrete Mathematics Seminar II

A Characterization of Multiclass Learnability
Nataly Brukhim
10:30am|Simonyi Hall 101 and Remote Access

A seminal result in learning theory characterizes the PAC learnability of binary classes through the VC dimension. Extending this characterization to the general multiclass setting has been open since the late 1980s.

We resolve this problem by...

Dec
13
2022

Special Year Research Seminar

Toward Classifying Reducts of the Complex Field
Chieu-Minh Tran
4:00pm|Simonyi 101 and Remote Access

We discuss some recent progress on the model-theoretic problem of classifying the reducts of the complex field (with named parameters and up to interdefinability). The tools we use include Castle’s recent solution of the Restricted Trichotomy...

Dec
14
2022

Analysis & Mathematical Physics

Additive Energy of Regular Measures in One and Higher Dimensions, and the Fractal Uncertainty Principle
3:00pm|Simonyi 101 and Remote Access

We obtain new bounds on the additive energy of (Ahlfors-David type) regular measures in both one and higher dimensions, which implies expansion results for sums and products of the associated regular sets, as well as more general nonlinear functions...

Dec
14
2022

Analysis and Mathematical Physics

Classical Turbulence as Quantum Geometry
Alexander Migdal
4:30pm|Simonyi 101 and Remote Access

The loop equation for circulation PDF as functional of the loop shape is derived from the Hopf equation. This equation is $\textbf{exactly}$ equivalent to the Schrödinger equation in loop space, with viscosity playing the role of Planck's constant...

Dec
16
2022

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

Hofer's Geometry and Braid Stability
Marcelo Alves
9:15am|Remote Access

The Hofer’s metric dH is a remarkable bi-invariant metric on the group of Hamiltonian diffeomorphisms of a symplectic manifold. In my talk, I will explain a result, obtained jointly with Matthias Meiwes, which says that the braid type of a set of...

Dec
16
2022

Probability Seminar

Almost Sharp Sharpness for Boolean Percolation
Barbara Dembin
11:15am|Simonyi 101 and Remote Access

We consider a Poisson point process on $R^d$ with intensity lambda for $d>=2$. On each point, we independently center a ball whose radius is distributed according to some power-law distribution mu. When the distribution mu has a finite d-moment...