July 8, 2017 (Sat) 14:10--15:10 July 9, 2017 (Sun) 13:30--14:30 Lecture Hall (Room No. 420) Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan |
Abstract
The notion of rank of a representation, introduced in the 1980s for unitary representations of classical groups over local fields, can be adapted to apply to admissible, non-unitary representations, and also to finite fields. In this context, it yields new insights into representation theory for classical groups, including natural correspondences related to, but more regular than the much-studied local theta correspondence.