EVENT DETAILS AND ABSTRACT

Title: Lecture 1. Introduction to Kahler geometry
Speaker: Simon Donaldson
Speaker Info: Imperial College
Brief Description:
Special Note:
Abstract:

Kahler metrics and their interaction with Riemannian, complex and symplectic geometry. Kahler potentials and metrics on line bundles. Relations between curvature and cohomology. Riemann, Ricci and scalar curvature. Chern-Weil theory. Extremal metrics.

Moment maps in gauge theory and Kahler geometry. The case of toric manifolds and examples which do not admit extremal metrics.