[Todos] Charla de Joachim Hilgert en el coloquio del Departamento de Matemática

[jjgucci en dm.uba.ar]

Hola: El jueves 13 de septiembre a las 15 hs, en el aula E 24 del Pabellón
I, expondrá en el Coloquio del Departamento de Matemática el
Profesor Joachim Hilgert de la universidad Paderborn (Alemania).

Título: Fock spaces and small representations.

Resumen: Fock spaces are special Hilbert spaces, which were introduced in
quantum physics to study many particla systems. In mathematics one finds a
variant whose elements are holomorphic functions, which are square
integrable with respect to a Gauss measure. These spaces turned out to be
very useful in harmonic analysis on phase spaces. In particular, one finds
realizations of the Shale-Segal-Weil representation of the metaplectic group
on Fock spaces.
In this talk we start from the classical examples and move on to families of
more general Fock spaces, on which one can realize large families of
singular unitary representations in a unified geometric way.
We will present two different approaches. One based on recent papers with T.
Kobayashi, J. Mollers and B. Orsted, and a second, proposed in papers by D.
Achab and J. Faraut, which take up earlier work of R. Brylinski and B.
Kostant.

Están todos cordialmente invitados.
Saludos, Juan José Guccione


Para más información sobre los coloquios del Departamento de Matemática ir a

http://cms.dm.uba.ar/actividades/coloquios/