Time: 13:00-15:00, Wednesday, December 11 2024
Venue: E4-233, Yungu Campus
Host: Xin Fu, ITS
Speaker: Siqi He, Morningside Center of Mathematics, Chinese Academy of Sciences
Biography：Professor He Siqi is an associate researcher at Morningside Center for Mathematics, Academy of Mathematics and Systems Science, CAS. Previously, he was a research assistant professor at the Simons Center for geometry and Physics, Stony Brook University with mentor Simon Donaldson. he got his Ph.D. at California Institute of Technology under the supervision of Ciprian Manolescu and Yi Ni. Before that he was an undergraduate student at Peking University.
Professor He's research interests include low-dimensional topology, gauge theory and differential geometry.
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 SL2(C) connections on closed, oriented 3-manifolds defined by Taubes, and the Morgan–Shalen compactification of the SL2(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.
