Representation stability and asymptotic stability of factorization statistics

Speaker: 
Rita Jimenez-Rolland
Date: 
Wed, Jun 12, 2019
Location: 
PIMS, University of British Columbia
Conference: 
Workshop on Arithmetic Topology
Abstract: 
In this talk we will consider some families of varieties with actions of certain finite reflection groups – such as hyperplane complements or complex flag manifolds associated to these groups. The cohomology groups of these families stabilize in a precise representation theoretic sense. Our goal is to explain how these stability patterns manifest, and can be recovered from, as asymptotic stability of factorization statistics of related varieties defined over finite fields.