Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category

Geometry Topology Seminar
Friday, March 17, 2023 - 4:30pm for 1 hour (actually 50 minutes)
Skiles 005
Radmila Sazdanovic – North Carolina State
Austin Christian

The Deligne category of symmetric groups is the additive Karoubi closure of the partition category. The partition category may be interpreted, following Comes, via a particular linearization of the category of two-dimensional oriented cobordisms. In this talk we will use a generalization of this approach to the Deligne category coupled with the universal construction of two-dimensional topological theories to construct their multi-parameter monoidal generalizations, one for each rational function in one variable. This talk is based on joint work with M. Khovanov.