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Institute for the Physics and Mathematics of the UniverseWPI

IPMU Seminar on Mathematical Physics

Date: Monday, October 15 17:00 - 18:30
Place: Room 002, Mathematical Sciences Building Komaba Campus, The University of Tokyo
Speaker: Shinobu Hosono (The University of Tokyo)
Title: Topics on string theory, mirror symmetry, and Gromov-Witten invariants
Abstract: Recently, some technical developments in solving BCOV (Bershadsky-Cecotti-Ooguri-Vafa) holomorphic anomaly equation has been made and it has become possible to predict higher genus Gromov-Witten invariants for some class of Calabi-Yau 3 folds.
With a brief introduction to BCOV equation, I will present some predictions for Gromov-Witten invariants of certain Calabi-Yau 3 folds, which are not birational but derived equivalent. (This is based on a work with Y. Konishi which appeared in mathAG/0704.2928.)
Before coming to this specific topic, I will review some recent topics of the homological mirror symmetry focusing on its connection to the `classical' mirror symmetry, where the variation theory of Hodge structures (VHS) plays a central role. The BCOV equation and its open string generalization have their grounds on the VHS.