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Mathematics Colloquium

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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

 

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