Analysis Seminar

Wednesday, September 29, 2021 4:00 pm - 4:00 pm EDT (GMT -04:00)

Jintao Deng, Department of Pure Mathematics, University of Waterloo

"The K-theory of Roe algebras and the equivariant coarse Baum-Connes conjecture"

The equivariant coarse Baum-Connes conjecture claims that a certain assembly is an isomorphism. It has important applications in the study of existence of the positive scalar curvature on a given manifold. In this talk, I will talk about some C*-algebras which encode the large-scale geometry of a metric space . The equivariant coarse Baum-Connes conjecture provides an algorithm to compute its K-theory. I will show our recent result that the equivariant coarse Baum-Connes conjecture holds for a metric space under certain assumptions on the geometry of the metric space and the acting groups.

This seminar will be held jointly online and in person.