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From topological string theory to algebraic geometry
Mathematical Physics Seminar| Speaker: | Motohico Mulase, UCDavis, Math. Dept |
| Location: | 2112 MSB |
| Start time: | Tue, Mar 13 2012, 4:10PM |
String theory has influenced algebraic geometry from its beginning in the 1980s. One of the newest of these trends is the Remodeling Conjecture due to physicists Marino, Eynard, Bouchard, Klemm, and others. This conjecture provides, for the first time, a universal and effective mechanism of calculating the Gromov-Witten invariants of various target spaces, most notably toric Calabi-Yau 3-folds. Despite of the beauty of the conjecture, only a few rigorous results have been established by mathematicians, including my work. In this talk I will give an introduction to this new, universal, formalism of Gromov-Witten theory.