Calculus on Kahler manifolds

Title: Calculus on Kahler manifolds

Time& Venue: 09-10 a.m. on November 16 2020 N204

Abstract: The theory of Kahler manifolds is a part of complex geometry but has provided fundamental transcendental tool in the study of algebraic geometry and number theory. In this lecture, I will review basic calculus on compact K？hler manifolds especially the Hodge theory and the Lefschetz theory. Then I will explain how the Lefschetz will allow us to define the harmonic forms without Laplacien operators. Finally I will propose some questions about canonical metrics of Arakelov or Bargeman type.