MATH Seminar: “Structures and Stable Ranges in Representation Stability”, Cihan Bahran, 2:30PM July 11 (EN)

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

Speaker: Cihan Bahran (Boğaziçi University)
“Structures and stable ranges in representation stability”

Abstract: Let FI be the category of finite sets and injections. A functor V: FI → Abelian groups, i.e. an FI-module, encodes a sequence {V_n} of Sym(n)-representations for various n and transition maps between them. Homological finiteness properties of V then strongly restricts the eventual behavior of the sequence. I will discuss several such homological invariants of V whose vanishing in a range of degrees manifest in concrete stabilization patterns for the sequence, with examples from topology. I will discuss improvements to these “stable ranges” of V, some valid very generally, and some as a result of V possessing extra functorial structure extending the FI-action.

Date: 11 July 2023, Tuesday
Time: 14:30
Place: Zoom

This is an online seminar. To request the event link, please send a message to