Hypergeometric Motives

Introduction

This project began as part of an FRG grant from the NSF based at AIM in Palo Alto, CA. The goal was to compute numerically L-functions whose Euler factors are generically of degree higher than two by using hypergeometric motives.

The actual work started at a workshop at the Centro de Ciencias de Benasque Pedro Pascual in Benasque, Spain in 2009. A group of participants focused its attention on the computation of the rank four motive arising from the (mirror) of the famous family of quintic threefolds.

The success of these calculations made it clear that it was indeed possible to work with the general case of hypergeometric motives. Follow the links on the left to find more details and updates about this team effort.

Send comments, suggestions or questions to villegas@ictp.it