2018京津几何工作营将于2018.10.27-10.28举办

作者:陈省身数学研究所(2018-03-05)


2018京津几何工作营日程

(10.27 - 10.28, 省身楼216教室)

1027日下午

15:00-17:30,主持人:冯惠涛教授(南开大学)

15:00-15:50

张伟平院士(南开大学)

Title: Enlargeability and positive scalar curvature on foliations

Abstract: We report recent progress concerning positive scalar curvature on foliations, including generalizations of previous results to the enlargeable foliated spaces.

  

16:00-16:30茶歇

16:30-17:20

丁青教授(复旦大学)

Title: The Almost Complex Structure on S^6 and Related Schr\odinger Flows

Abstract: In this talk, we report our recent result on the G_2 binormal motion of curves in R^7-

associated to the almost complex structure on S^6 by using the G_2- structure  from the 

octonions O. The motion is proved to be equivalent to Schr\odinger flows from R^1 to S^6,

and also to a nonlinear Schr\odinger-type system in three unknown complex functions that 

generalizes the famous correspondence between the binormal motion of curves in R^3 and 

the focusing nonlinear Schr\odinger equation. Some related problems are also discussed.

 

1028日上午

9:00-11:30,主持人:唐梓洲教授(南开大学)

9:00-9:50

李嘉禹教授(中国科学技术大学)

Title: Compactness and singularity related to harmonic maps

Abstract: In the talk I will review our recent works on compactness and regularity related to harmonic maps, especially on triholomorphic maps between hyperkaehler manifolds.

  

10:00-10:30 茶歇

10:30-11:20

李海中教授(清华大学)

Title: Inverse mean curvature flow and some geometric applications

Abstract: In this talk, we give some important properties of inverse mean curvature flow for hypersurfaces with nonnegative sectional curvature in a hyperbolic space. By use of the properties of inverse mean curvature flow, we prove some geometric inequalities for such hypersurfaces.