You are cordially invited to the seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Cihan Bahran (Bo\u011fazi\u00e7i University)
\n\u201cStructures and stable ranges in representation stability\u201d<\/p>\n
Abstract: Let FI be the category of finite sets and injections. A functor V: FI \u2192 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 \u201cstable ranges\u201d of V, some valid very generally, and some as a result of V possessing extra functorial structure extending the FI-action.<\/p>\n
Date: 11 July 2023, Tuesday
\nTime: 14:30
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to f.atay@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the seminar organized by the Department of Mathematics. Speaker: Cihan Bahran (Bo\u011fazi\u00e7i University) \u201cStructures and stable ranges in representation stability\u201d Abstract: Let FI be the category of finite sets and injections. A functor V: FI \u2192 Abelian groups, i.e. an FI-module, encodes a sequence {V_n} [\u2026] <\/p>\n