Theta correspondence and the Sakellaridis-Venkatesh conjecture
Time: 2021-11-21
Published By: Yu Feng
Speaker(s): Xiaolei Wan(BICMR)
Time: 10:00-11:30 November 26, 2021
Venue: Room 29, Quan Zhai, BICMR
In this introductory talk, we will introduce the important tool which called theta correspondence in the representation theory and the Plancherel decomposition in the Harmonic analysis. Sakellaridis and Venkatesh have proposed a conjecture related to Plancherel decomposition of $L^2(X)$ in terms of the dual group $G_X^{\vee}$ and the distinguished morphism $\iota$. In this talk, we are concerned about the case when $\iota=\theta$ is represented by theta correspondece.