Manchester Algebra Seminar - Cesare Giulio Ardito - Classification of blocks and open conjectures
| Dates: | 1 December 2020 |
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| Times: | 13:00 - 14:00 |
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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: Cesare Giulio Ardito - City University of London
Title: Classification of blocks and open conjectures
Abstract: 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 many special cases. A harder question is the one to
actually classify Morita equivalence classes in a given situation, i.e. to have a
complete list of blocks that can occur determined up to Morita equivalence.
In this talk, I will introduce the topic, give the relevant definitions and
then roughly describe the process of classifying blocks, with a focus on the
methodology and the tools normally needed to obtain such a result. Then
I will focus on some applications of having such a list, mentioning some
(perhaps surprising) difficulties that can arise in verifying certain classic
modular representation theory conjectures, even when a complete list of
blocks is given.
Title: TBC
Time: 1pm
Place: Zoom
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Travel and Contact Information
Find event
Zoom - online
Alan Turing Building
Manchester
GB
