| Speaker: | Toshiyuki Kobayashi (U Tokyo) |
|---|---|
| Title: | Analysis on Minimal Representations |
| Date (JST): | Thu, Dec 09, 2010, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
Minimal representations are building blocks of unitary representations, which are the smallest infinite dimensional unitary representations of reductive groups. The Weil representation for the metaplectic group, which plays a prominent role in number theory, is a classic example. Minimal representations (viewed from groups) have ''maximal symmetries (viewed from representation spaces)''. The second viewpoint brings us to a rich study of geometric analysis on minimal representations. Highlighting minimal representations of the indefinite orthogonal group O(p,q), I plan to discuss conservative quantities of ultra-hyperbolic equations, a generalized Fourier transform for the isotropic cone, and its deformation theory. |
