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 Gromov-Witten invariants of curves in Calabi-Yau 3-folds, and
provides insight into the structure of Gromov-Witten invariants.
Refreshments will be served at 2:45 p.m. (MATX 1115, Math Faculty Lounge).
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