Cesare Ardito - Classifying 2-blocks with an elementary abelian defect group
|Starts:||15:00 11 Oct 2019|
|Ends:||16:00 11 Oct 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||Current University students|
This week's pure postgrad seminar will be given by Cesare Ardito at 3pm in Frank Adams 1.
Donovan's conjecture predicts that given a p-group D there are only finitely many Morita equivalence classes of blocks of group algebras 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 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 O has been achieved for D with rank 3 or less, and for D = (C2)4. I have done (C2)5, and I have partial results on (C2)6. I will introduce the topic, give the relevant definitions and then describe the process of classifying this blocks, with a particular focus on the individual tools needed to achieve a complete classification.
Travel and Contact Information
Frank Adams 1
Alan Turing Building