Speaker: Bo Guan

Title: Estimates for some fully nonlinear elliptic equations on manifolds

Abstract: Establishing a priori estimates is crucial in study of nonlinear PDEs. In this talk we discuss some recent progresses in this direction. We shall consider some fully nonlinear equations in connection with conformal deformation of Chern-Ricci curvatures on Hermitian manifolds, a Loewner-Nirenberg type theorem, as well as the Neumann problem for Hessian equations on Riemannian manifolds, if time allows.