Topology Seminar: Kevin Casto

  • Date: 09/19/2018
  • Time: 14:50
Lecturer(s):
Kevin Casto, UBC
Location: 

University of British Columbia

Topic: 

Representation theory and arithmetic statistics of generalized configuration spaces.

Description: 

Church-Ellenberg-Farb introduced the theory of FI-modules to explain the phenomenon of representation stability of the cohomology of configuration spaces. I will explain the basics of how this story goes, and then explain how to extend their analysis to two generalized types of configuration spaces. Furthermore, I will explain how the Grothendieck-Lefschetz formula connects these topological stability phenomena to stabilization of statistics for polynomials and rational maps over finite fields.

Other Information: 

Location: ESB 4133 (PIMS Lounge)