I plan to discuss some 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”.
[ programme ]
© Toshiyuki Kobayashi