3:30 pm Thursday, August 27, 2015
Geometry seminar: From categories to curve-counts in CY mirror symmetry (part 1) by
Tim Perutz (UT Austin) in RLM 9.166
In joint work with Sheel Ganatra and Nick Sheridan, we prove that if (a fragment of) homological mirror symmetry holds for a pair of Calabi-Yau manifolds then it follows that there is an isomorphism between A- and B-model variations of Hodge structure. Consequently, we are able to pin down the undetermined mirror map in Sheridan's proof of HMS for Calabi-Yau hypersurfaces, and in particular obtain a "conceptual" proof of the Candelas-de la Ossa-Green-Parkes formula for rational curves on the quintic 3-fold. Submitted by
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