Seminars & Colloquia Calendar
Equivariant cohomology in a tensor category
Martin Andler, University of Versailles Saint-Quentin
Date & time: Friday, 22 April 2022 at 12:10PM - 1:10PM
Abstract In this talk, I will present some joint work with Siddhartha Sahi. Motivated by Cartan and Weil's work in differential geometry and Lie theory, specifically equivariant cohomology of a manifold with a Lie group action, reinterpreted by Guillemin-Sternberg in terms of a supersymmetric extension of a Lie algebra, we introduce the notion of a tensor category endowed with an odd unit, and prove, in that context, some generalisations of well know theorems like the Koszul resolution in Lie algebra cohomology. Our results apply not only to standard tensor categories, like the category of modules over a Lie algebra, but to more exotic categories, like the category of sheaves over a supermanifold or supervariety, the indizations of the Deligne interpolation categories and related categories constructed by Knop, Serganova and others.
Meeting ID: 939 2146 5287
Passcode: 196884, the dimension of the weight 2 homogeneous
subspace of the moonshine module