Manchester Algebra Seminar - Michael Livesey - On Donovan's conjecture for non-abelian defect groups
| Dates: | 26 May 2020 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, Current University students |
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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
Travel and Contact Information
Find event
Zoom - online
Alan Turing Building
Manchester
