[10th Anniversary Lecture]From Tits building to non-negatively curved manifolds
Time: 2015-12-04
Published By: Qi Liu
Speaker(s): Prof. Fuquan Fang
Time: 00:00-00:00 December 4, 2015
Venue: 北京国际数学研究中心78号院77201
报告人：方复全教授 （首都师范大学）
报告时间： 2015年12月4日上午10点到11点
地点：北京国际数学研究中心78号院77201
报告题目：From Tits building to non-negatively curved manifolds
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.
报告时间： 2015年12月4日上午10点到11点
地点：北京国际数学研究中心78号院77201
报告题目：From Tits building to non-negatively curved manifolds
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.
