Z/2 harmonic forms, harmonic maps into R-trees, and compactifications of character variety

Time：Thur., 4:00-5:00 pm, Nov. 28, 2024

Venue：B725, Shuangqing Complex Building A

Speaker：Siqi HE

YMSC Topology Seminar

Organizers：

陈伟彦、高鸿灏、黄意、林剑锋、孙巍峰

Speaker：

Siqi HE 何思奇 (CAS AMSS)

Time：

Thur., 4:00-5:00 pm, Nov. 28, 2024

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 405 416 0815

Passcode: 111111

Title：

Z/2 harmonic forms, harmonic maps into R-trees, and compactifications of character variety

Abstract:

In this talk, we will explore the connection between the analytic compactification of the moduli space of flat SL(2,C) connections on closed, oriented 3-manifolds defined by Taubes, and the Morgan–Shalen compactification of the SL(2,C) character variety. We will discuss how these two compactifications are related through harmonic maps to R-trees. Additionally, we will discuss several applications of this construction in the analytic aspects of gauge theory. This is joint work with R. Wentworth and B. Zhang.

DATENovember 27, 2024

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