2018京津几何工作营日程
(10.27 - 10.28, 省身楼216教室)
10月27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.
10月28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.