Title: A Nakai Moisezon type criterion for supercritical deformed Hermitian Yang Mills equation

Abstract: The deformed Hermitian-Yang-Mills equation is a fully nonlinear elliptic PDE on Kahler manifolds, which can be regarded as the complex analogue of the Lagrangian equation. In this talk, I will present a Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation, which in particular confirms Collins-Jacob-Yau's conjecture on projective manifolds. This is a joint work with Man-Chun Lee and Ryosuke Takahashi.

Reported by: Professor Chu Jianchun (Peking University)

Time: June 2, 2023, 10:30-11:30

Location: Room 101, Building 2, Hainayuan