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科学研究
2020 Tongji-ShanghaiTech Joint Geometry Workshop
发布时间:2020-10-28? ? ? ? 浏览次数:10



Tongji University & ShanghaiTech University

Shanghai China

October 28-29, 2020









2020 Tongji-ShanghaiTech joint geometry workshop


会议时间:20201028- 1029


会议地点1Zoom 会议室(线上,详见手册内容)


会议地点2S408, IMS@ShanghaiTech University


组织人:Chengjian Yao, Kai Zheng


E-mailkzheng@tongji.edu.cn









会议日程


2020-10-28 Wednesday

  Chengjian Yao

 (ShanghaiTech)

15:00-16:00

 Title: Gravitating vortices and cosmic strings with singularities


Abstract: We introduce the notion of twisted gravitating vortices on a compact Riemann surface. If the genus of the Riemann surface is greater than 1 and the twisting forms have suitable signs, we prove an existence and uniqueness result for suitable range of the coupling constant. It is proved via solving a continuity path deforming the coupling constant from 0 for which the system decouples as twisted Kahler-Einstein metric and twisted vortices. Moreover, specializing to a family of twisting forms smoothing delta distribution terms, we prove the existence of singular gravitating vortices whose Kahler metric has conical singularities and Hermitian metric has parabolic singularities. In the Bogomol'nyi phase, we establish an existence result for singular Einstein-Bogomol'nyi equations, which represents cosmic strings with singularities.  


Venue: https://zoom.us/j/97776574795


 Kai Zheng

 (Tongji)

16:00-17:00

Title: Some estimates on extremal metrics


Abstract: In this talk, we will present a compactness theorem on extremal metrics.


Venue: https://zoom.us/j/94697225681














2020-10-29 Thursday

 Long Li

 (ShanghaiTech)

15:15-16:15

Title: Approximation of the geodesic and the affine Mabuchi functional


Abstract: tba


Venue: https://zoom.us/j/98855180589




 Wei Sun

 (ShanghaiTech)

16:15-17:15

TitleInterior gradient estimates for prescribed curvature equation


Abstract: In this talk, we shall talk on interior gradient estimates for admissible solutions to prescribed curvature equations.  


Venue: https://zoom.us/j/97914203553



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