香蕉视频

Title: Remarks on the gradient estimate for real and complex Hessian type equations

Abstract: This is a follow-up of Marcin Sroka's talk. We will discuss various methods to obtain the global and interior the gradient estimates for the real Hessian type equations. We then switch the attention to global estimate of complex Hessian equations. There are still several open problems in this case, we will discuss why is so difficulty in complex. We will provide a proof of gradient estimate for geometric solutions of a class of complex Hessian equations on Hermitian manifolds.