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Rationality of blocks of quasi-simple finite groups

Connections for Women: Group Representation Theory and Applications February 01, 2018 - February 02, 2018

February 02, 2018 (03:30 PM PST - 04:15 PM PST)
Speaker(s): Niamh Farrell (Universit├Ąt Kaiserslautern)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Morita Frobenius numbers

  • block theory

  • Finite groups of Lie type

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

Morita Frobenius numbers were introduced by Radha Kessar in 2004 in the context of Donovan’s Conjecture in block theory. The Morita Frobenius number of an algebra is the number of Morita equivalence classes of its Frobenius twists. I will present results from joint work with Radha Kessar where we aim to bound the Morita Frobenius numbers of blocks of quasi-simple finite groups. I will explain the connection to Donovan's Conjecture, and illustrate how recent results of Bonnafé-Dat-Rouquier play a crucial role in our methods.

Supplements
30758?type=thumb Niamh Notes 180 KB application/pdf Download
Video/Audio Files

8-Farrell

H.264 Video 8-Farrell.mp4 288 MB video/mp4 rtsp://videos.msri.org/data/000/030/536/original/8-Farrell.mp4 Download
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