Pure Maths Colloquium: Another point of view on affine connections
22 February 2010 16:15 in CM221
A symplectic symmetric space admits a unique connection that preserves its structure. It can be described by a formula involving the symplectic structure and the symmetries. A slight modification of this formula allows one to describe any linear connection on a smooth manifold in terms of its geodesic symmetries, or more precisely their second order jet at their center. This yields a very geometric description of many standard objects and results in affine geometry.