Limit algebras and tempered representation. Lie Groups and Representation Theory Seminar. The University of Tokyo, 15 June 2021.

I plan to discuss the new connection between the following four (apparently unrelated) topics:

1. (analysis) Tempered unitary representations on homogeneous spaces
2. (combinatorics) Convex polyhedral cones
3. (topology) Limit algebras
4. (symplectic geometry) Quantization of coadjoint orbits

based on a series of joint papers with Y Benoist “Tempered homogeneous spaces　I-IV”.

© Toshiyuki Kobayashi