An operator algebras seminar at SIMIS: Stable Uniqueness and the Approximation of Quasi-Representations for Surface Groups

Speaker: Shaocong Xiang (East China Normal University)
Host: Zijing Wang

Time: Friday, May 16th, 1:00-2:00 pm
Location: Room 1402, SIMIS

Abstract:
This talk explores the stable uniqueness results established in Sections 4 and 5 of Rufus Willett’s Conditional Representation Stability, -Homomorphisms, and Eta Invariants. We will focus on their implications for the approximation problem of quasi-representations. Specifically, we examine whether every quasi-representation of a surface group is close to an actual representation, and discuss possible obstructions when this approximation fails. Our analysis underscores the significance of stable uniqueness in resolving approximation challenges within the C-algebraic framework.


About the speaker:
Shaocong Xiang is a doctoral candidate at East China Normal University, and his supervisor is Professor Hang Wang. His research interest lies in the field of noncommutative geometry. His work has centered on the Baum-Connes conjecture and the equivariant index theorem.

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