Classifying 2-blocks with an elementary abelian defect group
Duration: 27 mins 42 secs
Share this media item:
Embed this media item:
Embed this media item:
About this item
Description: |
Ardito, C
Thursday 9th January 2020 - 17:00 to 17:30 |
---|
Created: | 2020-01-14 08:54 |
---|---|
Collection: | Groups, representations and applications: new perspectives |
Publisher: | Isaac Newton Institute |
Copyright: | Ardito, C |
Language: | eng (English) |
Abstract: | 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 O has been achieved when p=2 for abelian D with rank 3 or less, and for D=(C2)4.In my PhD thesis I have done (C2)5, and I have partial results on (C2)6. I will introduce the topic, give some definitions and then describe the process of classifying these blocks, with a focus on the process and the tools needed to produce a complete classification. All the obtained data is available on https://wiki.manchester.ac.uk/blocks/. |
---|
Available Formats
Format | Quality | Bitrate | Size | |||
---|---|---|---|---|---|---|
MPEG-4 Video | 640x360 | 1.76 Mbits/sec | 367.59 MB | View | Download | |
WebM | 640x360 | 358.67 kbits/sec | 72.81 MB | View | Download | |
iPod Video | 480x270 | 521.74 kbits/sec | 105.85 MB | View | Download | |
MP3 | 44100 Hz | 249.78 kbits/sec | 50.74 MB | Listen | Download | |
Auto * | (Allows browser to choose a format it supports) |