Gang Tian - Transgression Forms and Kähler Geometry

Name: Gang Tian Title: Transgression Forms and Kähler Geometry Date: 2012-02-07 @ 1:00 PM Abstract: The Chern-Weil theory associates each Hermitian metric with a set of differential forms representing the Chern classes. Given two different metrics, the difference of these forms can be expressed explicitly by the transgression forms which lead to new and important secondary classes, such as the Chern-Simon classes and the Bott-Chern classes. In this general talk, I will discuss the role of these classes in Kahler geometry and show how to understand some of recent progresses in view of this and classical facts. For more videos from the Simons Center for Geometry and Physics, please visit http://scgp.stonybrook.edu/video