Abstract: D. Ben-Zvi, Y. Sakellaridis, and A. Venkatesh proposed a relative Langlands duality between certain G-hyperspherical varieties M and G^vee hyperspherical variety M^vee. They proposed that the period associated to M is related to the L-function associated to its dual M^vee, and vice versa.

Recently, M. Finkelberg, V. Ginzburg, and R. Travkin conjectured a more elementary duality relation between certain Lagrangian subvarieties of M and M^vee, providing some numerical evidence for the relative Langlands duality.

In this talk, I will investigate this numerical duality conjecture for certain cases arising from GGP and theta correspondence. This is an ongoing work with Congling Qiu, Jiajun Ma, and Zhiwei Yun.

Note that this seminar is starting 45 minutes later than usual to allow time for eclipse-viewing