Description
A hypergeometric local system is the space of solutions to a hypergeometric differential equation. Under suitable assumptions, hypergeometric local systems have a geometric origin: they arise from the variation of cohomology of the fibers of a morphism. In this talk, we classify all hypergeometric local systems that support a rational variation of Hodge structure with Hodge numbers (1,1,1,1). We show that all such local systems are associated to families of generically smooth threefolds and we discuss the geometry and the arithmetic of the family at the conifold point. This is joint work with Fernando Rodriguez Villegas.
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