报告人：杜哲 博士
(中国科学院数学与系统科学研究院）

题 目：Lecture 1: Theta Lifting: From Shimura to Borcherds;
Lecture 2: On the Spectrum of (Spin(10, 2), SL(2)) in E(7,3).

地 点：闵行校区数学楼316

时 间： Lecture 1: 2009年11月13日（星期五），上午：10: 00—11：00
Lecture 2: 2009年11月16日（星期一） ，上午：10: 00—11：00

摘要：Lecture 1: Theta Lifting: From Shimura to Borcherds
It is known that theta lifting is important in representation theory and number theory. In this talk, we will give the
development of theta lifting and its relations with representation theory. We will begin from Shimura's correspondence, and close with Borcherds lifting.

Lecture 2: On the Spectrum of (Spin(10, 2), SL(2)) in E(7,3)
In this talk, we will give a description of the spectrum of restriction from the minimal representation of E_(7,3) to the subgroups (Spin(10,2),SL(2)). The spectrum consists of discrete spectrum, and most of the representations of Spin(10,2) occurs are unitary representation with nonzero cohomology. The representations we got here are different from the representations we got from classical theta correspondence.