Mixed Hodge Numbers and Factorial Ratios

By Fernando Rodriguez Villegas

These are the slides of my talk at Bill Duke’s birthday conference held at ETH in Zurich. I later wrote an extended abstract of this talk. It includes a proof of the calculation of the mixed Hodge numbers of a hypergeometric motive. The original conjecture on Hodge numbers of is a paper of Corti and Golyshev. A proof was given by Fedorov.