Pure maths colloquium - Radha Kessar
| Dates: | 1 May 2026 |
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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, External researchers, Current University students |
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Speaker: Radha Kessar (University of Manchester)
Title: Rationality and quaternion blocks
Abstract: To each indecomposable factor (block) of a finite group algebra over a field of positive characteristic p is associated a conjugacy class of finite p-subgroups of the group called the defect groups of the block. A conjecture of Donovan predicts that up to Morita equivalence there are only finitely many blocks with a given isomorphism class of defect group. Karin Erdmann's work from the late 1980s yields an almost complete solution of this conjecture in the case that the defect group is of tame representation type. There is only class of tame representation type which is still open - that of quaternion defect group and two simple modules. I will report on ongoing joint work with Charles Eaton, Florian Eisele, Markus Linckelmann and Mandi Schaeffer Fry on this open case.
Room: Frank Adams 1
We will also use this opportunity to celebrate Radha’s appointment to the Fielden Chair in Pure Mathematics. The talk will be followed by a reception.
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Frank Adams 1
Alan Turing Building
Manchester
