University of Birmingham > Talks@bham > Birmingham Algebra Seminar > A new family of symplectic singularities

## A new family of symplectic singularitiesAdd to your list(s) Download to your calendar using vCal - 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 \C^{2n}/\Gamma (where \Gamma 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 \chi_n (n\geq 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 Birmingham Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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