Some examples for the relative Langlands duality

Chen Wan (Rutgers-Newark)

In this talk I will give an introduction to the relative Langlands duality (proposed by Ben-Zvi—Sakellaridis—Venkatesh) which is a duality for certain Hamiltonian spaces. I will present an algorithm for computing the dual Hamiltonian space in several cases: the polarized case (developed by Ben-Zvi, Sakellaridis, and Venkatesh), the vector space case (joint work with Mao and Zhang), and the simple group case (joint work with Tang and Zhang).