Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Z/2 Harmonic Forms, Harmonic Maps into R-trees, and Compactifications of Character Variety
Siqi He (Morningside Center of Mathematics)
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.
Meeting ID: 880 6250 8475
Passcode: 340118
Organizers: Nicolau Sarquis Aiex (NTNU), Chung-Jun Tsai (NTU), Siao-Hao Guo (NTU)
