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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
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.