Previous Conferences & Workshops

Apr
20
2021

SL2 Seminar

Perverse sheaves on Grassmannians via microlocal geometry
Tom Braden
4:00pm|Remote Access

I will present a finite-dimensional quiver algebra whose representations are equivalent to the category of Schubert-constructible perverse sheaves on the Grassmannian $Gr(k,n)$. The functor inducing the equivalence is constructed by analyzing the...

Apr
20
2021

Computer Science/Discrete Mathematics Seminar II

On Chen’s recent breakthrough on the Kannan-Lovasz-Simonovits conjecture and Bourgain's slicing problem
Ronen Eldan
10:30am|Simonyi Hall 101 and Remote Access - see Zoom link below

In the mid 80's, Bourgain asked the following question: Is there a universal constant $c>0$ such that every compact convex set $K$ in $R^n$, of unit volume, must contain a slice (namely, a set of the form $K \cap H$ for some affine hyperplane $H$)...

Apr
19
2021

Analysis Seminar

From hyperbolic billiards to statistical physics
Peter Nandori
4:30pm|Remote Access

Consider a point particle flying freely on the torus and elastically bouncing back from the boundary of fixed smooth convex obstacles. This is the celebrated Sinai billiard, a rare example of a deterministic dynamical system where rigorous results...

Apr
19
2021

Marston Morse Lectures

Statistical physics of random CSPs
Nike Sun
3:00pm|Remote Access via Zoom videoconferencing (link below)

I will describe recent progress in determination of asymptotic behavior in random constraint satisfaction problems, including the independent set problem on random graphs, random regular NAE-SAT, and random SAT. The results include sharp phase...

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...