A new family of symplectic singularities

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• Paul Levy (Lancaster University)
• Wednesday 30 March 2022, 14:30-15:30
• Lecture Theatre B, Watson Building.

If you have a question about this talk, please contact Gareth Tracey.

Symplectic singularities were defined by Beauville more than 20 years ago. The main classes of known examples are symplectic quotient singularities ℂ²ⁿ/Γ (where Γ is a finite subgroup of the symplectic group) and (normalisations of) nilpotent orbit closures. Until very recently, it was suspected that these exhausted all possible isolated symplectic singularities.

In this talk, I will explain three markedly different constructions of a completely new family of isolated symplectic singularities χ_n (n ≥ 5): as partial resolutions of quotient singularities for the dihedral group of order 2n; as deformations arising via the corresponding Calogero-Moser space; in the universal cover of the nilpotent cone of gl_n. The special case n=5 had earlier appeared in relation to a particular Slodowy slice in type E₈.

This talk is part of the Algebra Seminar series.

This talk is included in these lists:

• Algebra Seminar
• Lecture Theatre B, Watson Building
• School of Mathematics Events

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