Previous Conferences & Workshops

Nov
03
2023

Special Seminar on Homological Stability and Number Theory

Uniform Twisted Homological Stability
Dan Petersen
4:00pm|Simonyi Hall101

Homological stability is now well established as an organizing principle and computational tool in algebraic topology and other areas. In many cases it is of interest to obtain homological stability with twisted coefficients, and the standard choice...

Nov
03
2023

Condensed Learning Seminar

Analytic Rings
2:30pm|Princeton University, Fine Hall 314

This talk is an introduction to analytic rings. Some examples and non-examples will be covered. Some nice properties of the module categories will be proved.

Nov
03
2023

Analysis and Mathematical Physics

Optimization Problem Over the Space of Functions with Second Order Bounded Variation
Camillo Brena
2:30pm|Simonyi Hall 101 and Remote Access

This talk is a discussion about the extremal points of the unit ball with respect to the Hessian-Schatten variation seminorm, i.e. the total variation of the second distributional differential with respect to the Schatten matrix norm. The main...

Nov
03
2023

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

The Subleading Asymptotics of Symplectic Weyl Laws,
Oliver Edtmair
9:15am|Remote Access

Spectral invariants defined via Embedded Contact Homology (ECH) or the closely related Periodic Floer Homology (PFH) satisfy a Weyl law: Asymptotically, they recover symplectic volume. This Weyl law has led to striking applications in dynamics...

Nov
02
2023

Joint PU/IAS Number Theory

Moments of Families of Quadratic L-Functions Over Function Fields Via Homotopy Theory
Dan Petersen
4:30pm|Institute for Advanced Study, Simonyi Hall, Room 101

This is a report of joint work with Bergström-Diaconu-Westerland and Miller-Patzt-Randal-Williams.

Based on random matrix theory, Conrey-Farmer-Keating-Rubinstein-Snaith have conjectured precise asymptotics for moments of families of quadratic L...

Nov
02
2023

Special Seminar on Homological Stability and Number Theory

The Stable Homology of the Braid Group With Coefficients Arising From the Hyperelliptic Representation
Craig Westerland
3:00pm|Institute for Advanced Study, Simonyi Hall, Room 101

The braid group B_{2g+1} has a description in terms of the hyperelliptic mapping class group of a curve X of genus g.  This equips it with an action on V = H_1(X), and we may produce a wealth of new representations S^{\lambda}(V) by applying Schur...

Nov
01
2023

Special Seminar on Homological Stability and Number Theory

Stable Homology and the BKPLR Heuristics Over Function Fields
Jordan Ellenberg
4:00pm|Simonyi Hall101

A basic question in arithmetic statistics is:  what does the Selmer group of a random abelian variety look like?  This question is governed by the Poonen-Rains heuristics, later generalized by Bhargava-Kane-Lenstra-Poonen-Rains, which predict, for...