University of Sydney Algebra Seminar

Michael Ehrig (University of Sydney)

Friday 23 September, 12-1pm, Place: Carslaw 375

Finite dimensional representations for orthosymplectic supergroups.

In this talk we will discuss the finite dimensional representation theory of the family of orthosymplectic Lie supergroups. Using the Deligne category and generalized Khovanov algebras we describe the blocks of this category by giving a diagrammatic presentation of the endomorphism ring of a projective pro-generator. This relates the category to versions of category O for classical Lie algebras, perverse sheaves, and categorifications of quantum symmetric pairs. This is joint work with Catharina Stroppel.