Representation theory, gauge theory, and integrable systems

Session

Justin Hilburn: Symplectic duality and Langlands duality

8 Feb 2019, 11:00

Lecture Hall(1F), Kavli IPMU

13. Symplectic duality and Langlands duality

Justin Hilburn

08/02/2019, 11:00

In this talk I would like to sketch how one can use the tools of derived symplectic geometry and holomorphically twisted gauge theories to derive a relationship between symplectic duality and local Langlands. Our starting point will be an observation due to Gaiotto-Witten that a $3d$ $\mathcal{N}=4$ theory with a $G$ flavor symmetry is a boundary condition for $4d$ $\mathcal{N}=4$ SYM with...