Seminars & Colloquia Calendar
Complex hessian quotient equations
Jian Song, Rutgers University
Date & time: Tuesday, 04 August 2020 at 1:40PM - 3:40PM
Abstract: The J-flow is proposed by Donaldson to study symplectomorphisms of a Kaher manifold. The J-equation, critical equation of the J-flow, corresponds to a standard complex hessian quotient equation. The global J-equation does not always admit a smooth solution due to topological obstructions. We review both the analytic and topological conditions for solving the J-equation. These equivalent conditions are natural analogues of the Nakai criterion in algebraic geometry.