Events and Activities

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

Apr
03
2024

Special Year Seminar

The $v$-Picard Group of Stein Spaces
2:00pm|Simonyi 101 and Remote Access

In this talk, I will present a computation of the image of the Hodge-Tate logarithm map (defined by Heuer) in the case of smooth Stein varieties. When the variety is the affine space, Heuer has proved that this image is equal to the group of closed...

Apr
03
2024

Special Homogeneous Dynamics Seminar

Directional Statistics of Lattice Points and Escape of Mass for Embedded Horospheres
Jens Marklof
4:30pm|Simonyi Hall 101 and Remote Access

I will discuss escape of mass estimates for SL(d,ℝ)-horospheres embedded in the space of affine lattices, which depend on the Diophantine properties of the shortest affine lattice vector. These estimates can be used, in conjunction with Ratner's...

Apr
04
2024

What is...?

Mira Gordin
1:00pm|Simonyi 101 and Remote Access

To Be Announced.

Apr
04
2024

Joint PU/IAS Number Theory

The Not-So-Local-Global Conjecture
James Rickards
4:30pm|Simonyi 101 and Remote Access

I will introduce Apollonian circle packings, and describe the local-global conjecture, which predicts the set of curvatures of circles occurring in a packing. I will then describe reciprocity obstructions, a phenomenon rooted in reciprocity laws...

Apr
05
2024

Analysis and Mathematical Physics

Generic Properties of Laplace Eigenfunctions in the Presence of Symmetry
2:30pm|Simonyi Hall 101 and Remote Access

Let $G$ be a compact Lie group acting on a closed manifold $M$. Partially motivated by work of Uhlenbeck (1976), we explore the generic properties of Laplace eigenfunctions associated to $G$-invariant metrics on $M$. We find that, in the case where...

Apr
05
2024

Condensed Learning Seminar

Nuc(X) is Dualizable
2:30pm|Princeton University, Fine Hall 314

Prove that for a qcqs analytic adic space $X$, the category of nuclear sheaves on $X$ is dualizable in two steps. First, establish the result locally over affinoid Tate adic spaces using the notion of weak proregularity and then prove a general...

Apr
08
2024

Computer Science/Discrete Mathematics Seminar I

Polynomial Capacity and its Applications: To TSP and Beyond
Jonathan Leake
11:00am|Simonyi 101 and Remote Access

About 20 years ago, Gurvits developed the notion of polynomial capacity to give a simple proof of the famous van der Waerden lower bound on the permanent of a doubly stochastic matrix. Since then, similar techniques have led to various other...