24. Oct 2019

Integral factorials ratios and mixed Hodge numbers

Datum: 24. October 2019 | 13:30 – 15:30
Sprecher: Fernando R. Villegas, ICTP, Italy
Veranstaltungsort: Heinzel Seminar Room / Office Bldg West (I21.EG.101)

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.