|Date: Tuesday, December 10, 2013
Title: Reflection groups, non-negative curvature and Tits geometry
Abstract: A reflection in a euclidean space (sphere) is one of the fundamental notions of symmetry of geometric figures. It plays a central role in the classification of semi-simple Lie algebra. Reflections groups on a hyperbolic space is an important theme in hyperbolic geometry.
In this talk I will present
(i) A complete classification of reflection groups and the equivariant structures of complete non negatively curved manifolds.
(ii) A complete classification of positively curved polar manifolds of cohomogeneity at least 2, which is achieved partially based on Tits geometry.
This is a joint work with Karsten Grove and G. Thorbergsson
Speaker: Fuquan Fang
Institution: Capital Normal University