主讲人:Daniel Kayue Wong,香港中文大学(深圳)助理教授
时间:2019年8月1日10:10
地点:徐汇校区3号楼301
举办单位:数理学院
内容介绍:Let $G$ be a real reductive Lie group, and $\hat{G}^d$ be the collection of irreducible unitary representations with nonzero Dirac cohomology. In the special case when $G$ is a complex group (treated as a real group), Barbasch and Pandzic conjectured $\hat{G}^d$ can be obtained from parabolic induction on some unipotent representations. On the other hand, Dong reduced the study of $\hat{G}^d$ to a finite set of representations called scattered representations. In this talk, we will see how these two approaches of $\hat{G}^d$ can be reconciled for complex classical Lie groups, which in turn will verify a couple of conjectures of Barbasch-Pandzic, and identify the scattered representations computed by Dong using the atlas program. This is a joint work with Dan Barbasch and Chao-ping Dong.