讲座题目:Rational ellipticity of Riemannian manifolds
主办单位:三峡数学研究中心
报告专家:陈小杨博士(同济大学)
报告时间:2021年9月13日(周一)下午(15:00—17: 30)
报告地点:腾讯会议(ID:118 446 133 )
专家简介:陈小杨,同济大学高等研究院研究员。主要研究方向为黎曼几何,在曲率与拓扑,群作用等领域已发表论文近10篇。
报告摘要:It was conjectured by Bott-Grove-Halperin that a compact simply connected Riemannian manifold with nonnegative sectional curvature is rationally elliptic, i.e., it has finite dimensional rational homotopy groups. This conjecture (if true) would yield many important consequences. We will discuss recent progress on this conjecture, in particular our partial confirmation on this conjecture.