Colloquium
3:00 p.m., Friday (October 14, 2005)
Math Annex 1100
Jim Bryan
UBC
Topological Quantum Field Theory and its applications ancient and modern
Topological Quantum Field Theory (TQFT), as formulated by Atiyah,
has provided a general framework for understanding topological
invariants of manifolds. The structure of TQFTs in dimension 1+1
(i.e. surfaces with boundaries) is completely understood by
elementary means  yet they can still yield surprising results.
We present a famous example of a 1+1 dimensional TQFT that results
in a beautiful old formula that counts covers of a genus g Riemann
surface. Finally, we sketch how a deformation of this TQFT encodes
the GromovWitten invariants of curves in CalabiYau 3folds, and
provides insight into the structure of GromovWitten invariants.
Refreshments will be served at 2:45 p.m. (MATX 1115, Math Faculty Lounge).
