Einstein's legacy in geometry

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.