Polynomial Superfunctors - Applications to Finite Supergroup Schemes

Explore the intricacies of polynomial superfunctors and their applications in finite supergroup schemes in this 50-minute lecture by Christopher Drupieski from DePaul University. Delve into the category of strict polynomial functors introduced by Friedlander and Suslin in 1997, and its significance in establishing finite-generation results for the cohomology of finite group schemes. Examine Axtell's 2013 introduction of strict polynomial superfunctors and understand how Ext-group calculations in this category have shaped our current understanding of the cohomology of finite supergroup schemes and restricted Lie superalgebras. Gain insights into the ongoing research and potential areas for further exploration in the superfunctor category. This talk, part of IPAM's Symmetric Tensor Categories and Representation Theory Workshop, offers a deep dive into advanced mathematical concepts for those interested in algebraic structures and representation theory.