Abstract

The topic of this conference is Geometric Analysis, with emphasis on the research topics related to conformal geometry and CR geometry and their geometric flows. This includes existence and uniquesness of Poincare-Einstein metric, Paneitz operator, Q-curvature, Q’-curvature in CR geometry, Yamabe problem, Yamabe flow, CR Yamabe problem, related fully nonlinear partial differential equations. Other topics in Geometric Analysis will also be covered, such as, minimal surface, mean curvature flow, and geometric partial differential equations. The purpose of this meeting was to bring together international experts working on various aspects of conformal and CR geometry so that research ideas may be exchanged, and our understanding in conformal and CR geometry may be deepened.

Description of the aim

In this workshop, we plan to cover a wide variety of topics in Geometric Analysis, with emphasis on conformal geometry and CR geometry and their geometric flow. We plan to invite speakers to talk about the most recent topics in this field. Topics include CR Yamabe problem, minimal surface, mean curvature flow, Paneitz operator, Poincare-Einstein metric, Q-curvature, Q’-curvature in CR geometry, Yamabe problem, Yamabe flow, related fully nonlinear partial differential equations, and geometric partial differential equations.

There will be mathematicians from all over the world participating in the workshop, including Brazil, Hong Kong, Japan, Korea, Taiwan, USA, and Vietnam. Through this, we hope that participants from different research areas could learn from each other, and ideas and thoughts could be exchanged during the workshop, and new research results could be generated through it.

There will be a significant number of young mathematicians, who are PhD student, postdoc or assistant professor, attending the workshop. We hope that this will foster the young generation in the area of Geometric Analysis, especially those who are working in conformal geometry and CR geometry.

There will be 22 speakers: 2 speakers in the morning and 3 speakers in the afternoon every day from Monday to Friday except Wednesday; there will be 2 speakers in the morning of Wednesday, and a free discussion in the afternoon of Wednesday. Each speaker will give a one-hour talk.

Here is a tentative list of speakers: Sergio Almaraz, Jeffrey Case, Xuezhang Chen, Hung-Lin Chiu, Jaigyoung Choe, Robin Graham, Matthew Gursky, Fengbo Hang, Chin-Yu Hsiao, Stephen McKeown, Cheikh Birahim Ndiaye, Juncheol Pyo, Yanyan Li, Stephen McKeown, Keomkyo Seo, Jinwoo Shin, Yannick Sire, Fang Wang, Yi Wang, Jun-Cheng Wei, Jingang Xiong, Xingwang Xu

This will bring together experts from different mathematical backgrounds with the goals of furthering and deepening our understanding of conformal and CR geometry and of strengthening the connections and analogies between the two fields.