Quantitative K-theory, K-homology, and their applications

Guoliang Yu (Texas A&M University)

9:30-10:30，July 31，2024    

Shanghai Institute for Mathematics and Interdisciplinary Sciences

Abstract:

In this talk, I will give an introduction to quantitative K-theory, K-homology, and their applications to scalar curvature and the universal coefficient theorem for C*-algebras.

About the speaker:

Guoliang Yu is the Powell Chair in Mathematics and University Distinguished Professor at Texas A&M University, a Fellow of the American Mathematical Society, and also a Simons Fellow in Mathematics. He is one of the managing editors of the Journal of Topology and Analysis and Journal of Noncommutative Geometry, a member of the editorial board of Annals of K-Theory and Kyoto Journal of Mathematics, invited speaker at the 2006 International Congress of Mathematicians. His research interests include large-scale geometry, K-theory, index theory, manifold topology and geometry, and operator algebras, especially in the Novikov conjecture and Baum-Connes conjecture, and he has published in top-tier mathematical journals such as Annals of Math and Inventiones Mathematicae.