S-duality and Lie Super-algebras
Offered By: BIMSA via YouTube
Course Description
Overview
Explore a series of conjectural statements providing geometric realization of categories of finite-dimensional representations of quantum simple Lie super-algebras with invariant symmetric bilinear forms in this lecture. Delve into the motivation behind these conjectures from S-duality in mathematical physics, with a focus on those formulated by D. Gaiotto for classical Lie super-algebras. Examine the connection to local quantum geometric Langlands correspondence and its relation to the "relative Langlands duality" of Ben Zvi, Sakellaridis, and Venkatesh. Investigate proven cases of these conjectures based on works by Braverman, Finkelberg, Ginzburg, Travkin, and Yang. Gain insights into advanced topics in mathematical physics and representation theory throughout this comprehensive talk.
Syllabus
Alexander Braverman: S-duality and Lie super-algebras #ICBS2024
Taught by
BIMSA
Related Courses
Foundations of Classical ElectrodynamicsIndian Institute of Technology, Kharagpur via Swayam Superstring Theory: The DNA of Reality
The Great Courses Plus Scattering Amplitudes in Gauge Theory as Chiral Algebra Correlators - Kevin Costello
Institute for Advanced Study via YouTube Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten
Institute for Advanced Study via YouTube Origins of the Laws of Nature - Peter Atkins
The Royal Institution via YouTube