Hypergeometric families and Beilinson’s conjectures (pre-talk)

Matt Kerr (Washington University in St. Louis)
Fri, May 3 2024, 12:00pm

I will describe the construction of motivic cohomology classes on hypergeometric families of Calabi-Yau 3-folds using Hadamard convolutions.  One can view this as a “higher” version of the Mordell-Weil group for families of elliptic curves, giving rise to sections of “higher” Jacobian bundles which produce solutions to certain inhomogeneous Picard-Fuchs equations.  This is part of a joint project with Vasily Golyshev which aims to numerically verify Beilinson’s conjectures in some new cases.

(Matt Kerr kindly offered to give an introductory pre-talk on hypergeometric variations of hodge structures (VHS). So part 1, 12-1 pm, will be a friendly pre-talk, and part 2, 2:30-3:30 pm, will be the friendly talk itself.)