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FIELD Math:Geometry
DATE August 05 (Thu), 2021
TIME 16:00-17:00
PLACE Online
SPEAKER Miura, Makoto
HOST Kim, Bumsig
INSTITUTE Research Institute for Mathematical Sciences, Kyoto University
TITLE Geometric transitions for Calabi--Yau hypersurfaces
ABSTRACT

Geometric transition is a process of connecting two smooth Calabi--Yau 3-folds by a birational contraction followed by a complex smoothing. It has attracted the interest of both mathematicians and physicists, since it may give the right notion to connect moduli spaces of Calabi--Yau 3-folds. For Calabi--Yau hypersurfaces in toric varieties, a well-known idea of constructing geometric transitions is the use of nested reflexive polytopes. However, the method fails if we are going in a naive way. In this talk, I will report the current situation of this approach by looking at the counterexample by Fredrickson and discuss how to save this idea.

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