|Sunday 20 January 2019|
|Events for day: Wednesday 16 January 2019|
| 15:30 - 17:00 Geometry and Topology Weekly Seminar|
Quantum Topology, Geometry and Dynamics
It is well-known that classical invariants of algebraic and differential topology, including smooth fundamental group, smooth singular homology, de Rham cohomology as well as Morse homology, are not sensitive to smooth structures of manifolds but modern physically-based (TQFT) invariants like Donaldson or Seiberg-Witten invariants are so. Thus it seems there should be a deep relation between quantum theory and manifold theory. In this talk, we investigate this relation. Our starting point is that as classical mechanics is not adequate to describe the structures of atoms and we need quantum mechanics to see atoms' structure, classical algebra ...