Representation Theory and Mathematical Physics Seminar: Spherical Supervarieties

Seminar | April 9 | 4-5 p.m. | 748 Evans Hall

 Alexander Sherman, UC Berkeley

 Department of Mathematics

Spherical varieties are algebraic varieties with an action by a reductive group which admit an open Borel orbit. This extra condition on its symmetries connects their study to representation theory, makes tractable their classification, and yet is broad enough to have many rich examples.

We introduce a definition of a spherical supervariety, which is a simple generalization of the classical definition to the super world. Then, with a focus on the affine case, we look at certain properties of these spaces, highlighting some of the differences and similarities with the classical story.