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.