Previous Conferences & Workshops

Apr
16
2021

Workshop on Topology: Identifying Order in Complex Systems

From geometry to topology: inverse theorems for distributed persistence
Paul Bendich
3:00pm|Remote Access

What is the "right" topological invariant of a large point cloud $X$? Prior research has focused on estimating the full persistence diagram of $X$, a quantity that is very expensive to compute, unstable to outliers, and far from a sufficient...

Apr
16
2021

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

Three 20 minute research talks
Maxim Jeffs, Côme Dattin and Bingyu Zhang
9:15am|Remote Access

Maxim Jeffs (Harvard), Mirror symmetry and Fukaya categories of singular varieties

In this talk I will explain Auroux' definition of the Fukaya category of a singular hypersurface and two results about this definition, illustrated with some...

Apr
15
2021

Joint IAS/Princeton University Number Theory Seminar

Beilinson-Bloch conjecture for unitary Shimura varieties
Chao Li
4:30pm|Remote Access

For certain automorphic representations $\pi$ on unitary groups, we show that if $L(s, \pi)$ vanishes to order one at the center $s=1/2$, then the associated $\pi$-localized Chow group of a unitary Shimura variety is nontrivial. This proves part of...

Apr
14
2021

Mathematical Conversations

Embedding Symplectic Ellipsoids and Diophantine equations
Dusa McDuff
5:30pm|Remote Access

This talk will explain work stemming from a group project that investigated the ellipsoidal embedding capacity function for the family of Hirzebruch surfaces. This problem turns out to have unexpected arithmetic structure, leading to an intricate...

Apr
14
2021

Geometric and Modular Representation Theory Seminar

Microlocal sheaves on certain affine Springer fibers
Zhiwei Yun
3:00pm|Simonyi Hall 101 and Remote Access

For homogeneous affine Springer fibers (those with $G_m$ symmetry), we realize them as Lagrangian cycles inside ambient symplectic varieties, and make sense of microlocal sheaves supported on these affine Springer fibers. We also propose a...

Apr
13
2021

SL2 Seminar

Meldings and the codimension-three conjecture
Kari Vilonen
6:00pm|Remote Access

I will start by recalling the notion of microlocal perverse sheaves and then briefly explain meldings. The rest of the talk is devoted to explaining the ideas involved in the proof of the codimension-three conjecture.