Analysis Seminar

Thursday, March 2, 2023 4:00 pm - 4:00 pm EST

Jintao Deng, Department of Pure Mathematics, University of Waterloo

"The K-theory of relative group C*-algebras"

The relative Baum-Connes conjecture claims that a certain relative Baum-Connes assembly map is an isomorphism. It provides an algorithm of the computation of the K-theory of relative group C*-algebras. In my talk, I will present several cases when the relative assembly maps are isomorphic (or injective). The strong relative Novikov conjecture states that the relative assembly map is injective. I will also talk about the applications of the strong Novikov conjecture in geometry and topology, especially about the relative higher signatures of manifolds with boundary.

This seminar will be held both online and in person: