Title: Tensor functors for quasi-reductive supergroups 


Abstract: Given a finite-dimensional complex vector space V and a nilpotent endomorphism f in End(V), one may construct a corresponding action of the group SL_2 on V, so that the infinitesimal action of the unipotent upper-triangular matrices is given by f. In this talk, I will explain a generalization of this construction to Z/2Z-graded vector spaces and supergroups, leading to "homological'' tensor functors on representation categories of supergroups, and a structure theory for odd orbits in Lie superalgebras.

No prior knowledge of supergroups is assumed. This is based on a joint work with V. Serganova.


Recording Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=3645db37-59f2-4210-8d02-b38300dc5416