Dmytro Matvieievskyi: Spherical unitary dual via quantized symplectic singularities

Speaker: Dmytro Matvieievskyi, Kavli IPMU

Let G be a complex reductive algebraic group. Describing the spherical unitary dual of G is an old and classical important problem in representation theory. In this talk I will explain some ideas of how to approach this question by quantizing symplectic singularities, namely nilpotent coadjoint orbit closures and their suitable generalizations. This is an ongoing project with Ivan Losev and Lucas Mason-Brown.