Time: September 6, Friday, 16:00-17:00

Venue: Room 210, Building 2, Hainayuan

Speaker: Hiraku Nakajima ( Kavli IPMU )

Absrtact: Let G be a complex reductive group, and M be a smooth affine algebraic symplectic manifold with a Hamitonian G action. We need to assume M is a cotangent bundle at this moment, but we expect that this condition is relaxed. The S-duality gives an affine algebraic, possibly singular, symplectic manifold M^\vee with a hamiltonian G^\vee action, where G^\vee is the Langlands dual group of G. This S-duality is a variant of Coulomb branch construction by BFN. It conjecturally gives a pair of hamiltonian spaces in relative Langlands program, proposed by Ben-Zvi, Sakellaridis and Venkatesh.