Fully non-linear elliptic equations on compact almost Hermitian manifolds

题目: Fully non-linear elliptic equations on compact almost Hermitian manifolds

报告人：黄立鼎（西湖大学）

时间：2023年3月10日星期五上午 10:00

地点：紫金港校区海纳苑2栋101室

摘要: We will talk about a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we will solve the complex Hessian equation and the Monge--Ampère equation for (n-1)-plurisubharmonic equations in the almost Hermitian setting.  We will also show the  second order estimates for the  fully nonlinear elliptic equations with gradient terms,  including the deformed Hermitian-Yang-Mills equation and the equation in the proof of Gauduchon conjecture by Szekelyhidi-Tosatti-Weinkove.