MATH Seminar: “An introduction to representation stability and FI-modules”, Cihan Bahran, 10:30AM October 9 (EN)

You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.

Speaker: Cihan Bahran (Bilkent)
“An introduction to representation stability and FI-modules”

Abstract: Given a sequence {G_n } of groups and vector spaces {V_n } where each G_n acts on V_n, representation stability studies the eventual/uniform behavior of V_n as a G_n-representation, as n varies.
One of the most robust and applicable variants is when G_n is the symmetric group on n letters, categorified by the framework of FI-modules. In addition to giving an overview of FI-modules and consequences of their finite generation, I will discuss applications such as the cohomology of configuration spaces and homology of congruence subgroups, where several stabilization results can be obtained even when explicit computations are lacking.

Date: Monday, October 9, 2023
Time: 10:30
Place: SA141 – Mathematics Seminar Room