I plan to discuss the new connection between the following four (apparently unrelated) topics:based on a series of joint papers with Y Benoist “Tempered homogeneous spacesã€€I-IV”.

- (analysis) Tempered unitary representations on homogeneous spaces
- (combinatorics) Convex polyhedral cones
- (topology) Limit algebras
- (symplectic geometry) Quantization of coadjoint orbits

© Toshiyuki Kobayashi