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University of Sydney Algebra Seminar

Giulian Wiggins

Friday 24 February, 12-1pm, Place: Carslaw TBC

Stratified categories and a geometric approach to representations of the Schur algebra

In this talk we describe abelian categories that can be decomposed into smaller categories via iterated recollements - such a decomposition we call a stratification. Examples include the categories of (equivariant) perverse sheaves, highest weight categories, and epsilon-stratified categories in the sense of Brundan-Stroppel (2018). In particular, we give necessary and sufficient conditions for a stratification of an abelian category to be equivalent to a category of finite dimensional modules of a finite dimensional algebra, and describe the representation theory of such algebras.