Geometric phases

An elementary account will be given of the mathematical phenomenon of "global change without local change", i.e. anholonomy, applied tp phases in quantum mechanics and angles in classical mechanics. Phases and angles in photons, electrons, and molecules will be discussed, with a historical emphasis. More advanced topics may include a detailed illustration of the vector and scalar gauge forces associated with the geometric reaction of a light system or a heavy one (modern Born-Oppenheimer theory) and its relation to recent developments in asymptotics.