Speaker: Qin Wang (East China Normal University)
Time: 2025-11-21 14:20-15:30
Location: 1410, SIMIS
Abstract: We introduce the notion of geometric Banach property (T) for metric spaces, which simultaneously generalizes both Banach property (T) for groups and geometric property (T) for metric spaces. This generalization is achieved through representations of the uniform Roe algebra of a metric space on various Banach spaces, including Lp-spaces and uniformly convex Banach spaces, among others. We demonstrate that geometric Banach property (T) is a coarse invariant and establish several equivalent characterizations, including one based on the existence of Kazhdan projections in Banach-Roe algebras. Our investigation is motivated by extending beyond Hilbert space geometry as the model space framework, aiming to deepen the understanding of coarse embeddings and the coarse Baum-Connes conjecture for metric spaces in the context of Banach space geometry. This is joint work with Liang Guo.
About Speaker: Qin Wang is a Professor of Mathematics in the Research Center for Operator Algebras, School of Mathematical Sciences, East China Normal University. Professor Qin Wang was a winner of the New Century Excellent Talents Support Program from the Ministry of Education. He was also selected as Shanghai Pujiang Scholar and Shuguang Scholar. His research interest involves operator algebras, coarse geometry, and noncommutative geometry, especially around the coarse Baum-Connes conjecture in higher index theory.
English 
简体中文