题目 : Boundaries of Hitchin Components

报告人：Charles Reid，Max Planck Institute for Mathematics in the Sciences in Leipzig

时间：2025年5月6日（星期二）20：00

Zoom：https://us06web.zoom.us/j/8784574760

密码：111111

摘要：There is a beautiful compactification of Teichmuller space, due to Thurston, whose boundary points are projective measured laminations, which generalize simple closed curves. I will present a generalization of this story to some Higher Teichmuller spaces called SL(n,R) Hitchin components.  These Hitchin components embed naturally in the space of projective oriented geodesic currents on S, and one can take the closure of this embedding to get a compactification. Whereas boundary currents of Teichmuller space have no self intersection, we find that boundary currents of Hitchin components have combinatorial restrictions on self-intersection which depend on n. If time permits we will discuss dual spaces to these higher-rank boundary currents.