讲座编号:jz-yjsb-2015-y051
讲座题目:Estimates for fully nonlinear elliptic equations on real and complex manifolds
主 讲 人:关波 美国俄亥俄州立大学教授
讲座时间:2015年07月07日(周二)上午10:00
讲座所在:阜成路校区东区1号楼242室
加入工具:理学院教师和相关学科的研究生
主办单位:理学院
关波(Guan Bo)美国俄亥俄州立大学数学系终身教授,厦门大学长江学者。
主讲内容:
Establishing a priori estimates is critical to the study of nonlinear elliptic equations. In this talk we discuss the roles of subsolution and concavity in some recent work in deriving second derivative estimates for a class of fully nonlinear equations which play important roles of geometry and analysis. As an application of our results, we give a proof of a conjecture of Gauduchun concerning metrics on Hermitian manifolds, building on results of Tossati and Weinkove.