题目:Fourier Lp-multipliers in SLn(R)
报告人:Javier Parcet {Institute of Mathematical Sciences(ICMAT)}
时间:7月18日, 9:40-10:40
地点:格物楼503学术报告厅
摘要:Connes rigidity conjecture for factors of PSLn(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 Hormander-Mikhlin criterium for Euclidean multipliers—and a major strengthening of Lafforgue/de la Salle rigidity theorem. Joint work with Eric Ricard and Mikael de la Salle.