Classifying blocks of finite groups

Charles Eaton (University of Manchester)

Wednesday 23rd October 16:00-17:00 Maths 311B

Abstract

A theme in the modular representation theory of finite groups is the identification of Morita equivalence classes of blocks. For blocks of tame or finite type the problem has been (mostly) resolved, but in general to progress further we currently need to use the classification of finite simple groups. A key conjecture is due to Donovan: that for a fixed p-group P there should only be finitely many equivalence classes of blocks with defect group P. I will give a survey of progress on Donovan's conjecture and on the classification of Morita equivalence classes of blocks with a given defect group.

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