Previous Conferences & Workshops

Mar
17
2022

Joint IAS/Princeton University Number Theory Seminar

Arithmetic statistics and graded Lie algebras
Jef Laga
3:00pm|Remote Access Only - see link below

I will explain how various results in arithmetic statistics by Bhargava, Gross, Shankar and others on 2-Selmer groups of Jacobians of (hyper)elliptic curves can be organised and reproved using the theory of graded Lie algebras, following earlier...

Mar
16
2022

Arithmetic Groups

Asymptotic Bounded Cohomology and Uniform Stability of high-rank lattices
Bharatram Rangarajan
11:00am|Simonyi 101 and Remote Access

In ongoing joint work with Glebsky, Lubotzky, and Monod, we construct an analog of bounded cohomology in an asymptotic setting in order to prove uniform stability of lattices in Lie groups (of rank at least two) with respect to unitary groups...

Mar
15
2022

Computer Science/Discrete Mathematics Seminar II

Localization schemes: A framework for proving mixing bounds for Markov chains
10:30am|Simonyi Hall 101 and Remote Access

Two recent and seemingly-unrelated techniques for proving mixing bounds for Markov chains are:

(i) the framework of Spectral Independence, introduced by Anari, Liu and Oveis Gharan, and its numerous extensions, which have given rise to several...