|Speaker:||Toshiyuki Kobayashi (U Tokyo)|
|Title:||Analysis on Minimal Representations|
|Date (JST):||Thu, Dec 09, 2010, 15:30 - 17:00|
|Place:||Seminar Room A|
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.