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Seminar
FIELD Mathematics
DATE December 10 (Thu), 2020
TIME 10:30-11:30
PLACE Online
SPEAKER Shoemaker, Mark
HOST Oh, Jeongseok
INSTITUTE Colorado state university
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 resolution. 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.
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