Speaker: Shaocong Xiang (East China Normal University)
Host: Zijing Wang
Abstract: This talk discusses the relationship between the vanishing of winding number invariants and the approximation of genuine representations by quasi-representations for fundamental groups of closed surfaces. We explore why this phenomenon might hold for surface groups (genus ≥2) — potentially tied to low-dimensional topology or analytic constraints — while failing in higher-dimensional settings.
Time: 1:00-2:00 pm, Friday, March 28th
Location: Room 1402
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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