Program
An introduction to CAT(0) geometry
Student No.:50
Time:Mon/Wed 13:00-14:50, 2014-05-12 ~ 2014-06-09 (except for public holiday on June 2)
Instructor:Yunhui Wu  [Rice University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2014-5-12
Ending Date:2014-6-9

 

 

Description:

 

The field of CAT(0)geometry is very active, which is highly related to geometry and topology. CAT(0) spaces are generalizations of complete Riemannian manifolds with non-positive curvature. The typical examples include Riemann manifolds of non-positive curvature, trees, Hilbert spaces, minimal surfaces in Rn , Euclidean buildings and so on.

The purpose of this course is to give an introduction to CAT(0) spaces. The topics may will cover Cartan’s fixed point Theorem, Lawson-Yau’s Flat Torus Theorem, Karlsson-Margulis’s recent result on the dynamics of parabolic isometrics on CAT(0) spaces(if time is permitted).

 

Prerequisite:

Set point topology

Group theory(Basic)

Baby Riemann geometry

 

Reference:

1:W.Ballman, M.Gromov and V.Schroeder: <>

2: M.Bridson and A.Häfliger: <>