中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人：吴云辉 教授（清华大学丘成桐数学科学中心）
题 目：On positive scalar curvature and moduli of curves
时 间：2016.11.03（星期四）, 14:30-16:00
地 点：数学院南楼N820室
Abstract:
In this talk, we will discuss the obstructions for complete positive scalar curvature metrics (including both Hermitian and Riemannian metrics) on the moduli of curves. For example, one result is that any finite cover of the moduli space of closed Riemann surfaces of genus $g$ with $g \geq 2$ does not admit any Riemannian metric $ds^2$ of nonnegative scalar curvature such that $ds^2 \geq ds_{T}^2$, where $ds_{T}^2$ is the Teichmüller metric; this is analogous to a well-known result of Gromo–Lawson and Schoen-Yau in the non-positively curved Riemannian metric setting in early 1980's. The Riemannian metric case is joint with Prof. Kefeng Liu at UCLA.
