You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: \u00c7isil Karag\u00fczel (UC Santa Cruz)<\/p>\n
\u201cStable perfect isometries of blocks of finite groups\u201d<\/p>\n
Abstract: This is joint work with Robert Boltje. Let (K,O,F) be a p-modular system which is large enough for finite groups G and H. Let A be a p-block of the group algebra OG, and B be a p-block of the group algebra OH.<\/p>\n
In 1990, Michel Broue\u2019 introduced the definition of a perfect isometry between the p-blocks A and B which is a generalized K-valued character leading to a special bijection between the sets of ordinary irreducible characters of A and B. In this talk, we introduce and investigate the notion of stable perfect isometries \u2013 a way to consider perfect isometries up to generalized projective characters of the corresponding p-blocks.<\/p>\n
Our interest lies in understanding in which cases a stable perfect isometry can be lifted to a perfect isometry. We will answer this question for the p-block OP where P is an abelian p-group.<\/p>\n
Date: May 11, 2022
\nTime: 19:00 (UTC+3)<\/p>\n
This is an online seminar. To obtain the event link, please send a message to barker@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Algebra Seminar organized by the Department of Mathematics. Speaker: \u00c7isil Karag\u00fczel (UC Santa Cruz) \u201cStable perfect isometries of blocks of finite groups\u201d Abstract: This is joint work with Robert Boltje. Let (K,O,F) be a p-modular system which is large enough for finite groups G [\u2026] <\/p>\n