EVENT DETAILS AND ABSTRACT

Title: Chern class inequalities for minimal models and uniformization
Speaker: Behrouz Taji
Speaker Info: University of Freiburg
Brief Description:
Special Note:
Abstract:

By proving Calabi's conjecture, Yau proved that the Chern classes of a compact manifold with ample canonical bundle encode the symmetries of the Kahler-Einstein metric via a simple inequality -- the so-called Miyaoka-Yau inequality. Furthermore it was shown that in the case of equality, the universal cover is the ball. In a joint project with Greb, Kebekus and Peternell, we use Simpson's groundbreaking work on complex variation of Hodge structures to prove the MY inequality for minimal models of general type and establish a uniformization result for their canonical models. If time permits, I will briefly discuss my recent work with Guenancia on using conical Kahler-Einstein metrics to establish the MY inequality for all minimal pairs.