19 février 2019

Ivan Loseu (Northeastern University)
Quantizations of nilpotent orbits and their covers

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Résumé : When one has a smooth symplectic manifold or a smooth algebraic varieties one can talk about their deformation quantizations — sheaves of algebras deforming the structure sheaf with some compatibilities with the symplectic form. An interesting class of symplectic manifolds/varieties is the coadjoint orbits for Lie/algebraic groups and their equivariant covers. And one of the most interesting— and relevant to Representation theory — among those are nilpotent orbits in semisimple Lie algebras (and the covers of such orbits). In my talk I will survey recent results on the classification of quantizations of the nilpotent orbits and their covers.

Quantizations of nilpotent orbits and their covers  Version PDF