Theta correspondence and the Sakellaridis-Venkatesh conjecture
发布时间:2021年11月21日
浏览次数:4735
发布者: Yu Feng
主讲人: 万小磊(北京大学)
活动时间: 从 2021-11-26 10:00 到 11:30
场地: 北京国际数学研究中心,全斋全29教室
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.