Heilbronn Algebra Seminar - Lewis Topley: Quantizations of coadjoint orbit closures in positive characteristics
| Dates: | 17 November 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: | Lewis Topley |
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Title: Quantizations of coadjoint orbit closures in positive characteristics
Abstract: If g = Lie(G) is the Lie algebra of an algebraic group over a field of characteristic zero then the closures of coadjoint orbits are Poisson varieties and it is natural and interesting to study their quantizations. Losev showed that when G is simple the quantizations are controlled by the one dimensional representations of a finite W-algebra. In my 2021 paper with Premet we conjectured that "the same" should hold over fields of positive characteristics, although here it is possible to state the conjecture without referencing W-algebras. In this talk I will explain the results of a recent joint work with Ambrosio and Westway in which we classify the quantizations of nilpotent coadjoint orbit closures for G = GL_N over a field of any positive characteristic. I will try to keep it as non-technical as possible and focus on the intuition behind the methodology.
Speaker
Lewis Topley
Organisation: University of Bath
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
