Graduate Workshop on Kahler Geometry, June 24 – July 5, 2013

 

Workshop in Kahler Geometry-Summer 2013

Recently there have been spectacular developments in Kahler geometry which cut across a wide variety of mathematical fields ranging from the analysis of PDE’s to Algebraic Geometry. The purpose of this workshop is to introduce graduate students and young researchers to some of these developments. The workshop will be organized by Xiuxiong Chen, Sir Simon Donaldson, Paul Gauduchon, and Sean Timothy Paul.   More specifically, the goal of the program is to lay the groundwork for further advances in the following subjects:

(1) The existence of Canonical metrics on Kahler Manifolds (Kahler Einstein cone metrics, Constant Scalar curvature metrics, and Extremal metrics).

(2) The alpha invariant, log canonical threshold, and stability conditions from algebraic geometry.

(3) Geometric Flows (Kahler Ricci and Calabi flows).

(4) The theory of the Complex Monge Ampere equation.

The first part of the workshop will consist of short courses delivered by the organizers and other senior mathematicians in residence. These lectures will be followed by student seminars which expand on the topics covered in the minicourses. The emphasis will be on understanding Yau’s solution to the Calabi Conjecture (and its conical analogue) , Geometric Invariant Theory and Kahler energies, and the basic ideas behind Gromov Haussdorf convergence of manifolds with specific geometric constraints .

Accepted applicants will be provided breakfast, lunch and local accommodations.

List of Faculty Lecturers: Simon Donaldson, Paul Gauduchon, Weiyong He, Hongnian Huang, Claude LeBrun, Jesus Martinez-Garcia, Sean Paul, Ioana Suvaina, Dror Varolin, and Ben Weinkove

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