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

Subject: Mathematics, Topology

Class: Scientific


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.