Speaker: Liang Guo
Host: Huaxin Lin
Abstract: In this talk, we will introduce a notion of a coarse algebra associated with a metric space, and construct the twisted Roe algebras and a twisted coarse Baum-Connes assembly map associated with this coarse algebra. We will cover basic properties of the twisted Roe algebras and the K-theory for the algebra associated with a metric with a coarsely embeddable fibration structure. As an application, we provide a new proof to the coarse Baum-Connes conjecture for a finitely generated group which is an extension of coarsely embeddable groups. This is based on a joint work with Jintao Deng.
Time: 2:30-3:30pm, Thursday, September 26th, 2024
Location: Room 1510, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
About the Speaker: Liang Guo is a postdoc at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS). His research interest is in coarse geometry and higher index theory.
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