Montag, 28. Juni 2010

Kolloquiumsvortrag von Prof. Dr. Alain Valette

Titel des Vortrags: The Howe-Moore property for analytic real and p-adic groups

Am Montag, dem 28. Juni 2010 hält 

Prof. Dr. Alain Valette (Neuchâtel, Switzerland)

um 16:45 Uhr im Hörsaal D2 einen Vortrag mit dem Thema

"The Howe-Moore property for analytic real and p-adic groups"

Zu dieser Veranstaltung sind alle Interessenten herzlich eingeladen.

Um 16:15 Uhr trifft man sich zur Begrüßung des Gastes bei Tee und Kaffee im Besprechungsraum D2.343.

Abstract:

A locally compact group has the Howe-Moore property if coefficients of unitary representations without fixed vectors, go to zero at infinity. The Howe-Moore theorem say that simple algebraic groups over local fields, have the Howe-Moore property. This property is of crucial importance in ergodic theory, as it ensures that every measure-preserving ergodic action on a probability space, is actualy mixing.

In the second part of the talk, we will consider a relative version of the Howe-Moore Property (with respect to a subgroup), and we will characterize, for linear Lie groups or $p$-adic Lie groups, the pairs with the relative Howe-Moore Property with respect to a closed, normal subgroup. This involves, in one direction, structural results on locally compact groups all of whose proper closed characteristic subgroups are compact, and, in the other direction, some results about the vanishing at infinity of oscillatory integrals. This is joint work with R. Cluckers, Y. Cornulier, N. Louvet and R. Tessera.

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