Deligne categories and supergroups
by Kevin Coulembier
Abstract: Deligne introduced universal monoidal categories as idempotent completions of diagram categories. Their universality provides useful tensor functors to categories of modules over certain Lie supergroups.
In this talk I will introduce a new analogue of such a Deligne category, the ‘periplectic Deligne category’ and explain the classification of blocks and thick tensor ideals. This allows to make substantial progress in the study of the representation theory of the periplectic Lie supergroup.
This is based on joint work with Michael Ehrig.