题目: Smooth 2-torus actions on the 5-sphere

报告人: Fernando Galaz-Garcia教授, KIT

摘要:  Isometric torus actions on closed, simply-connected Riemannian manifolds with positive and non-negative sectional curvature have been extensively studied. In dimension 5, Rong proved that a closed, simply-connected Riemannian 5-manifold M with positive sectional curvature and an isometric action of the 2-torus must be diffeomorphic to the 5-sphere. In the case where M is assumed to have non-negative sectional curvature, Searle and I obtained a classification up to diffeomorphism of such manifolds. With these classification results in place, a next natural step is to classify all possible actions of the 2-torus on a given manifold. In this talk I will discuss the general equivariant classification of smooth 2-torus actions on the 5-sphere, as well as the equivariant classification of isometric 2-torus actions on a 5-sphere with a Riemannian metric with positive sectional curvature. This is joint work with Diego Corro and Martin Kerin.

时间：5月28日（周二）下午3:00--4:00

地点：首都师大新教2楼 808  教室

联系人:戎小春

欢迎全体师生积极参加！