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Integral factorials ratios and mixed Hodge numbers

Date: Thursday, October 24, 2019 13:30 - 15:30
Speaker: Fernando R. Villegas (ICTP, Italy)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tamas Hausel

I will discuss how the integrality of ratios of factorials such (30n)!n!/(6n)!(10n)!(15n)! considered by Chebyshev is related to the vanishing of certain Hodge numbers of an affine hypersurface in a torus. The relation follows from a new proof of a known recipe for the Hodge numbers of hypergeometric motives in one variable. If time permits I will also discuss ongoing work on the case of hypergeometric motives depending on more variables.
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