Minimal Representations and Generalized Fourier Transforms. Autour des transformations de Fourier (Around the Fourier Transforms) (organized by D. Juteau, E. Letellier and P.-E. Paradan), Centre International de Rencontres Mathématiques (CIRM), Luminy, France, 13-17 September 2010. promised.

The Euclidean Fourier transform appears as the ''inversion unitary operator'' of the Weil representation realized in the the Schroedinger model, which is a minimal representation of a simple group of type C.

I plan to discuss a ''generalized Fourier transform'' arising from a minimal representation of a simple group of type D ([1]).

Deformation theory ([2]) will be also discussed.

References:
[1] to appear in Memoirs of Amer Math Soc (with G. Mano) .
[2] C. R. Math. Acad. Sci. Paris, 347:1119-1124, 2009 (with S. Ben Saïd and B. Ørsted). Full paper is available at arXiv:0907.3749.

© Toshiyuki Kobayashi