Title：The Novikov conjecture, groups of diffeomorphisms, and Hilbert-Hadamard spaces
Speaker: Jianchao Wu (Fudan University）
Time: Monday, May 07, 2023, 16:00-17:30
Location:Mingde Building B201-1
Zoom ID: 882 8540 7533 ，Password: 028422
Abstract: The Novikov conjecture is a prominant problem in differential topology. The operator K-theoretic approach provided by noncommutative geometry has yielded some of the best results that verify this conjecture for vast classes of groups. A natural class of groups for which the conjecture remains largely mysterious is that of countable groups of diffeomorphisms on smooth manifolds. In an upcoming joint paper with Sherry Gong, Zhizhang Xie, and Guoliang Yu, we prove that the (rational strong) Novikov conjecture holds for geometrically discrete countable subgroups of the group of diffeomorphisms of any closed smooth manifold. This removes the volume-preserving condition in a previous joint paper with S. Gong and G. Yu.
More information about the Functional Analysis Seminar can be found here.
