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Program

Differential Geometry

August 11, 2003 to May 15, 2004

Organizers

Robert Bryant (co-chair), Frances Kirwan, Peter Petersen, Richard Schoen, Isadore Singer, and Gang Tian (co-chair)

Description

Differential geometry is a vast subject that has its roots in both the classical theory of curves and surfaces, i.e., the study of properties of objects in physical space that are unchanged by rotation and translation, and in the early attempts by Gauss and Riemann, among others, to understand the features of problems from the calculus of variations that are independent of the coordinates in which they might happen to be described.

As classical as the subject is, it is currently undergoing a very vigorous development, interacting strongly with theoretical physics, mechanics, topology, algebraic geometry, symplectic topology, partial differential equations, the calculus of variations, integrable systems, and many other subjects. The five main topics on which we propose to concentrate the program are areas that have shown considerable growth in the last ten years:

Complex geometry, calibrated geometries and special holonomy
Geometric analysis
Symplectic geometry and gauge theory
Geometry and physics
Riemannian and metric geometry

Logistics

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Programmatic Workshops

August 11, 2003 - August 20, 2003	Von Neumann Symposium on Complex Geometry, Calibrations, and Special Holonomy
December 01, 2003 - December 05, 2003	Geometric Analysis
March 22, 2004 - March 26, 2004	Symplectic Geometry and Mathematical Physics
June 22, 2003 - June 26, 2003	Preparatory Workshop for the 2003 AMS/MSRI von Neumann Symposium