Oct 24, 2019
Integral factorials ratios and mixed Hodge numbers
Date: October 24, 2019 |
1:30 pm –
3:30 pm
Speaker:
Fernando R. Villegas, ICTP, Italy
Location: 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.
