Mark Shoemaker | Genus-zero Gromov—Witten Theory under extremal transitions
Speaker: Mark Shoemaker
Title: Genus-zero Gromov—Witten Theory under extremal transitions
Abstract: From a singular projective variety X_0, one can potentially obtain a smooth variety by smoothing or via a crepant resolution. If X is a smoothing of X_0 and Y is a crepant resolution, we say that X and Y are related by extremal transition. It is speculated that the moduli space of Calabi—Yau threefolds is connected via such transitions. Therefore, understanding the behavior of Gromov—Witten Theory under extremal transitions has important applications to mirror symmetry. In this talk I will describe a general procedure which produces extremal transitions between hypersurfaces in toric varieties and explain how their Gromov—Witten theories relate. Joint with Rongxiao Mi.