Einstein's legacy in geometry

28 May 2004
Nigel Hitchin
Einstein bequeathed many things to differential geometry — a global viewpoint and the urge to find new structures beyond Riemannian geometry in particular. Nevertheless, his gravitational equations and the role of the Ricci tensor remain the ones most closely associated with his name and the subject of much current research. In the Riemannian context they make contact in specific instances with a wide range of mathematics both analytical and geometrical. The talk will attempt to show how diverse parts of mathematics, past and present, have contributed to solving the Einstein equations.