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Manchester Algebra Seminar - Michael Livesey - On Donovan's conjecture for non-abelian defect groups

Dates:26 May 2020
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, Current University students
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  • Department of Mathematics

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  • In group "(Maths) Algebra"
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Speaker: Michael Livesey

Title: On Donovan's conjecture for non-abelian defect groups

Abstract: Donovan's conjecture states that for any finite p-group P there exist finitely many blocks, up to Morita equivalence, with defect group isomorphic to P. I will describe various reduction techniques that can be applied to Donovan's conjecture. In particular, I will discuss strong Frobenius numbers and how they have been used to reduce Donovan's conjecture to quasi-simple groups in the case of abelian defect groups. More recently the same types of reduction techniques have been applied to non-abelian defect groups, proving the conjecture for P isomorphic to Q8 x Q8 or Q8 x C_{2^n}. (This is joint work with C. Eaton and F. Eisele.)

Time: 2pm

Place: Zoom

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Kieran Calvert

kieran.calvert@manchester.ac.uk

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