Thursday 03 Oct 2019NT Seminar: Picard groups of group algebras

Dr Florian Eisele - University of Glasgow

H103 14:30-16:30


I will talk about recent work on the structure of Picard groups of group


algebras and more general orders over mixed-characteristic discrete


valuation rings. Namely, the Picard groups (an the related outer


automorphism groups) of group algebras turn out to be finite, and the


Picard groups of a more general class of orders are algebraic groups. In


particular, these groups are much smaller than their counterparts over a


field of prime characteristic. I will also briefly mention applications


of these results to modular representation theory, in particular


Donovan's conjecture.

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