Heilbronn Algebra Seminar - Matt Westaway
| Dates: | 17 February 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: | Matt Westaway |
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Title: Quantizations of nilpotent orbits in positive characteristic
Abstract: Nilpotent coadjoint orbits in a reductive Lie algebra play an important role in the representation theory of Lie algebras, especially over fields of positive characteristic. One definition of a nilpotent orbit is an orbit which is preserved by non-zero scalar multiplication; thus, the coordinate rings of such orbits are graded algebras, in fact graded Poisson algebras. For a graded Poisson algebra A, a natural problem is to classify the quantizations of A - filtered algebras whose associated graded algebra coincides with A. In this talk, we consider this problem for the general linear group and give a combinatorial classification of (Hamiltonian) quantizations in this case. This is joint work with Filippo Ambrosio and Lewis Topley.
Speaker
Matt Westaway
Organisation: University of Bath
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Frank Adams 1
Alan Turing Building
Manchester
