Seminario Teoría de Grupos ICMAT-UAM

Jueves 7/3/2019, 11:30, Aula 520, UAM

Speaker: Javier Parcet (ICMAT-CSIC)

Title: Multipliers in $SL_n(mathbf{R})$

Abstract: Connes rigidity conjecture for factors of P SLn(Z) provides a strong motivation
to study invariants on this class of von Neumann algebras. Lafforgue/de la Salle
rigidity theorem opens a door to harmonic analysis in this direction. In this talk, we
shall present the first sufficient conditions for Lp-boundedness of Fourier multipliers
in the group algebra of SLn(R) —in the spirit of H ̈ormander-Mikhlin criterium for
Euclidean multipliers— and a major strengthening of Lafforgue/de la Salle rigidity
theorem. Emphasis will be put on the geometric group theory aspects of both of
these results. Joint work with Eric Ricard and Mikael de la Salle.