Heilbronn Algebra Seminar - Harvey Sykes
| Dates: | 30 September 2025 |
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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: | Harvey Sykes |
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Title: Complete reducibility in Kac-Moody groups
Abstract: A Kac-Moody group G generalises a split reductive group. I will give a brief overview of these groups and discuss how to define a notion of G-complete reducibility when G is of infinite dimension. As a particular case, I will present a characterisation of G-completely reducible algebraic subgroups, recovering a result of D. Dawson for twin Euclidean buildings. We will see that this approach to G-complete reducibility faithfully generalises a separate notion of ‘complete reducibility’ defined by P.-E. Caprace.
Speaker
Harvey Sykes
Organisation: University of Essex
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
