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.
Seminario Teoría de Grupos ICMAT-UAM
Localización Jueves 7/3/2019, 11:30, Aula 520, UAM