Séminaire Topologies

Le mardi 23 mai 2017 à 14:00 - salle 330

Stephen Morgan
W-algebras and quantum Hamiltonian reduction by stages

We'll examine a branch of algebra which lies at the intersection of Lie theory, Poisson geometry and category theory. W-algebras are related to universal enveloping algebras, and like them carry a lot of information about the representation theory of the corresponding Lie algebras. In particular, the representation theory of W-algebras is closely related to the block decomposition of the BGG category O. We'll discuss how the geometry of the nilpotent cone and a quantum version of Hamiltonian reduction by stages can be used to relate different W-algebras.

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