Topology Seminar for 4/3/2003

John Morgan
Columbia University

One parameter families of Calabi-Yau threefolds

Abstract

There are lots of examples of one-parameter families of Calabi-Yau threefolds occurring as hypersurfaces or complete intersections in toric varieties. We study the resulting variations of Hodge structure from these families and compare the results to all possible variations and to various conjectures arising out of mirror symmetry conjectures.