Speaker: Shu-Cheng Chang ( National Taiwan University)
Abstract: A central problem of differential geometry and geometric analysis is the geometrization problem on manifolds. In particular, it is to determine which smooth manifolds admit certain geometric structures. One of our goals is to understand and classify the singularity models of the corresponding nonlinear geometric evolution equation, and to connect it to existence problem of geometric structures on manifolds. In this talk, we will explore several geometric structures on Sasakian manifolds including :
- Geometrization problems on Sasakian 5-manifolds.
- Geometry and topology of Sasaki-Ricci solitons.
- Yau uniformization conjecture on complete noncompact Sasakian manifolds.
- Geometry of Legendrian submanifolds in Sasaki η-Einstein manifolds.
The goal of this talk is to provide several analytic methods for existence and classification of canonical geometric structures in Sasakian manifolds.
Time: 02/21 Friday, 2pm
Location: Simis 1710
Host: Bong Lian
About the speaker: Professor Shucheng Zhang is a geometric analyst. Recently, Professor Zhang has focused on studying geometric analysis problems in CR manifolds, including the CR Obata problem, the Li-Yau gradient estimate corresponding to the CR heat equation, the Li-Yau-Hamilton inequality, and the CR Yau’s uniformization conjecture, which have elevated his research to new heights. His work has been published in prestigious journals such as JDG, Math. Ann., Indiana Univ. Math. J., Trans. AMS, and JGEA. For his outstanding contributions, he was honored with the 2015 Taiwan Mathematics Society Academic Award.
English 
简体中文