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Collapsed manifolds with local Ricci bounded covering geometry
发布时间: 2018-01-08     10:36   【返回上一页】 发布人:戎小春


 

北京师范大学数学科学学院

 

周五公众报告

 

 

报告题目:Collapsed manifolds with local Ricci bounded covering geometry

 

报告人:戎小春教授(美国Rutgers大学)

 

时间地点:2018112日16:00-17:00 后主楼1124

 

邀请人:卢广存

 

报告摘要:Collapsed manifolds with local bounded covering geometry has been well-studied during 80-00's, and the fundamental result of Cheeger-Fukaya-Gromov is the existence of a compatible local nilpotent symmetry structures whose orbits point to collapsed directions. In this talk, we generalize the structural result to collapsed manifolds with local Ricci bounded covering geometry. Unlike previous work in generalizing the structural result (via smoothing techniques), our local construction of nilpotent symmetry structures does not reply on the work of Cheeger-Fukaya-Gromov; which presents a new approach even restricting to the collapsed manifolds with local bounded covering geometry.

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