On the role of rank in representation theory of the classical groups

Special Representation Theory Seminar
Topic:On the role of rank in representation theory of the classical groups
Speaker:Roger Howe
Affiliation:Yale University and Texas A & M University
Date:Wednesday, March 8
Time/Room:2:35pm - 3:35pm/S-101
Video Link:https://video.ias.edu/reptheory/2017/0308-RogerHowe

Rank gives a natural filtration on representations of classical groups. The eta correspondence provides a clean description of a natural family of representations of a given rank, subject to certain bounds. There is evidence that this construction produces all representations of small rank.