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Sz-Sheng Wang ( National Taiwan University )
2015-05-08  09:10 - 11:00
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)

Using an inclusion of one reflexive polytope into another is a well-known strategy for connecting the moduli spaces of two Calabi-Yau families. In this talk, we will discuss, Fredrickson\'s result [1], how Calabi-Yau hypersurface families arising from Batyrev\'s construction can be resolved and compactified using a type of fan more general than an MPCP resolution. As an application, we will show how the result, [1, Theorem 4.9], can be used to construct an extremal transition between families of smooth CY threefolds, given any proper inclusion of reflexive 4-polytopes.

Ref. [1] Karl Fredrickson, Generalized compactifications of Batyrev hypersurface families, arXiv:1410.8287.