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

Abstract: 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.)

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com