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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