# Program

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

**Keywords and Mathematics Subject Classification (MSC)**

**Primary Mathematics Subject Classification**No Primary AMS MSC

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

June 22, 2003 - June 26, 2003 | Preparatory Workshop for the 2003 AMS/MSRI von Neumann Symposium |

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 |