中科院数学与系统科学研究院
数学研究所
晨兴中心微分几何讨论班报告
报告人： 葛建全 教授（北京师范大学）
题 目：Towards a classification of isoparametric foliations
时 间：2017.12.07（星期四），15 :00-16:00
地 点：数学院南楼N913室
摘 要：In spaces with good symmetries，classification problems are usually studied module the isometry group action of the ambient spaces with their canonical Riemannian metrics. In this direction, we will briefly mention classification results of isoparametric foliations in space forms and symmetric spaces. On the other hand, in general manifolds, there are two directions for classification of isoparametric foliations. First, one can still fix a "canonical" Riemannian metric and classify the foliations up to isometry group actions. the second direction: classify the foliations up to foliated diffeomorphisms (which constitute the subgroup of diffeomorphisms mapping leaves to leaves). In this direction we will introduce classification results of isoparametric foliations in low dimensional manifolds and in homotopy spheres.
