Michael Livesey, Friedrich-Schiller-Universitaet Jena: On Donovan’s conjecture for abelian defect groups and strong Frobenius numbers

Referent: Michael Livesey, On Donovan’s conjecture for abelian defect groups and strong Frobenius numbers

Montag,  24.06.2019, 15:30 h

Ort:Raum 418-438

Abstract: Donovan's conjecture states that for a fixed p-group P there are
only finitely many blocks (up to Morita equivalence) with defect group
isomorphic to P. In this talk I will talk about recent progress made on
this question for P abelian. The main tool used is the strong Frobenius
number of a block. I will also talk about the corresponding results over
an appropriately defined complete, discrete valuation ring. This is joint
work with Charles Eaton and Florian Eisele.