From Tits building to non-negatively curved manifolds
主 题: From Tits building to non-negatively curved manifolds
报告人: 方复全 (首都师范大学)
时 间: 2015-12-04 10：00-11：00
地 点: 北京国际数学研究中心78号院77201（北京国际数学研究中心十周年特别学术报告）
Tits building is a fundamental theory in mathematics which provides a combinatorial viewpoint to unify Lie theory over various algebraic fields. It served as the main tool for the first proof of the celebrated Mostow rigidity theorem. In this talk, I will explain briefly, how to bring Tits building into Riemannian geometry for polar manifolds with non-negative sectional curvature. In the presence of positive sectional curvature, a rigidity theorem for polar manifolds was proved, in a joint program with Karsten Grove and Gudlaugur Thorbergsson. An ongoing program with Karsten Grove is to explore further the structure of polar manifolds with non-negative curvature, toward a new conjectural characterization of compact type symmetric spaces
