主 题: A dilogarithm identity on moduli space of surfaces
报告人: Prof. Feng Luo (Rutgers University, USA)
时 间: 2012-04-13 14:00-15:00
地 点: 理科一号楼1114 （数学所活动）
The uniformization theorem says a Riemann surface of negative
Euler characteristic supports a hyperbolic metric. The area of the
metric depends only on the topology of the surface by the Gauss-Bonnet
theorem. Are there other geometric quantities of the hyperbolic metric
which depend only on the topology of the surface? In 1998, G. McShane,
found such an identity involving the lengths of all simple closed
geodesics on puncture hyperbolic surfaces. His work was generalized by
M.Mirzakhani, Tan-Wong-Zhang to surfaces with geodesic boundary in
2006. We will discuss our recent work on McShane type identity for closed
surfaces. This is a joint work with Ser-Peow Tan.
