MATHEMATICS COLLOQUIUM

When: Friday, April 12, 2013 3:15 PM - 4:15 PM

Where: Engineering : Tea to follow : 1202

Event Type(s): Colloquium

Title: Kahler-Einstein metrics, extremal metrics and stability

Speaker: Simon Donaldson (Imperial College)

Abstract: In the first part of the talk we will give a general outline of the two topics in Kahler geometry in the title, both growing out of work of Calabi. We will also discuss the parallels with affine differential geometry which arise when one studies toric manifolds. We will explain the standard conjectures in the field, relating the existence of these metrics to algebro-geometric notions of "stability". In the last part of the talk we will say something about recent work with Chen and Sun which establishes this conjecture in the case of Kahler-Einstein metrics on Fano manifolds (Yau's conjecture).

This is the first talk of the Calabifest, website: http://www.calabifest.org . Note special time and room. The colloquium tea will be AFTER the talk in the Math Rotunda.

Website: http://www-math.umd.edu/research/conferences/geometry-festival.html

For more information, contact:

Linette Berry

Department of Mathematics

+1 301 405 5058

lberry2@umd.edu

www-math.umd.edu/