Constructions of Exceptional Simple Lie Superalgebras with Integer Cartan Matrix

Explore new constructions of exceptional simple Lie superalgebras with integer Cartan matrix in characteristics 3 and 5 through this 47-minute lecture presented by Arun Kannan from MIT Mathematics. Delve into the realm of modular Lie superalgebras and symmetric tensor categories as Kannan discusses the Elduque and Cunha Lie superalgebras. Examine how these exceptional structures are realized using the Verlinde category and the semisimplification of representation categories. Gain insights into the kernel of the Frobenius endomorphism on the additive group scheme and its role in these constructions. Understand the connection between exceptional Lie algebras with nilpotent derivations and their corresponding Lie superalgebras in the semisimplified context. This talk, part of IPAM's Symmetric Tensor Categories and Representation Theory Workshop, offers a deep dive into advanced mathematical concepts at the intersection of algebra, category theory, and representation theory.