题目： Perspectives on CR Geometric Analysis

报告人：Professor Shu-Cheng Chang (台湾大学)

时间：2017年7月5日（周三）下午4:00-5:00

地点： 理科楼A404

摘要：A central problem of modern geometry and geometric analysis is thegeometrizationproblem on manifolds. It is to determine which smooth manifolds admit certain geometric structures. In particular, one of goals in geometric analysis is to understand and classify the singularity models of the nonlinear geometric equation, and to connect it to existence problem of geometric structures onmanifolds.Alongthese aspects, we will introduce some new and fundamental works on CR geometric analysis. In this talk, we will focus on the following topics :

(I) The Torsion Flow in a Three-Dimensional CR Manifold

(II) The CRCheeger-Colding-GromovTheorem

(III) The CR Frankel Conjecture and Gap Theorem

(IV) On the CR Reilly Formula andYauEigenvalue Conjecture

(V) On the CRMinkowski-Type Inequality

(VI) On the CR Sigma-kYamabeProblem

联系人：李海中、陈大广