[Binghamton Geometry/Topology Seminar] Geometry & Topology seminar

[somnath at math.binghamton.edu]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, November 7th, 2013

*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson
Reading Room.

*Speaker: ** *Fuquan Fang (Capitol Normal University, Beijing)
*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
Killing and Cartan's work on Lie algebra in 19th century. Reflections
groups on a hyperbolic space is important 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.