Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Complex Monge-Ampère equations have been one of the most powerful tools in Kähler geometry since Aubin and Yau’s classical works. In recent years degenerate complex Monge-Ampère equations have been intensively studied by many authors in relation to the Minimal Model Program. I will introduce some basic notions in Kähler geometry and in particular I will define Monge-Ampère operators. I will then give an idea of the Yau’s proof of the Calabi’s conjecture.