You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Cihan Bahran (Bilkent)
\n“An introduction to representation stability and FI-modules”<\/p>\n
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.
\nOne 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.<\/p>\n
Date: Monday, October 9, 2023
\nTime: 10:30
\nPlace: SA141 – Mathematics Seminar Room<\/p>\n","protected":false},"excerpt":{"rendered":"
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 [\u2026] <\/p>\n