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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Classifying 2-blocks with an elementary abelian defect group

## Classifying 2-blocks with an elementary abelian defect groupAdd to your list(s) Download to your calendar using vCal - Cesare Giulio Ardito (University of Manchester)
- Thursday 09 January 2020, 17:00-17:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. GRAW01 - Introductory/instructional workshop Donovan's conjecture predicts that given a $p$-group $D$ there are only finitely many Morita equivalence classes of blocks of group algebras of finite groups with defect group $D$. While the conjecture is still open for a generic $p$-group $D$, it has been proven in 2014 by Eaton, Kessar, Külshammer and Sambale when D is an elementary abelian 2-group, and in 2018 by Eaton, Eisele and Livesey when D is any abelian 2-group. The proof, however, does not describe these equivalence classes explicitly. A classification up to Morita equivalence over a complete discrete valuation ring $\mathcal{O}$ has been achieved when $p=2$ for abelian $D$ with rank $3$ or less, and for $D=(C_2) This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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