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Speaker: Kamryn Spinelli

Affiliation: ³ÉÈË´óƬ

Title: Constructing volume forms on Calabi-Yau complete intersections

Abstract: The integrals of volume forms of Calabi-Yau manifolds, called periods, are of fundamental importance in mirror symmetry and the study of complex moduli. In 2012, Lian and Yau showed how to canonically construct a section of the Hodge bundle on moduli spaces of CY complete intersections of a fixed manifold X through the notion of a CY bundle. By descending forms from the CY bundle to X, one can canonically resolve the ambiguities in the choice of volume form. In this first talk of the seminar, we will summarize the results of the first half of Lian and Yau's article, with an eye toward examples.