Support Variety Theory for Algebraic Supergroups

Explore the intricacies of support variety theory for algebraic supergroups in this 52-minute lecture presented by Vera Serganova from the University of California, Berkeley. Delve into the category of representations of algebraic supergroups with reductive even groups, examining its properties as a Frobenius symmetric monoidal tensor category. Discover how an algebraic variety X(M) is associated with every G-module M and understand the proof demonstrating that this correspondence satisfies the properties of a support variety theory. Recorded on January 11, 2024, as part of IPAM's Symmetric Tensor Categories and Representation Theory Workshop at UCLA, this talk offers valuable insights for researchers and students in advanced algebra and representation theory.