Abelian Varieties Seminar


Speaker: Jeffrey Achter

Title: Distinguished models of intermediate Jacobians

Abstract: Consider a smooth projective variety over a number field. The image of the associated (complex) Abel-Jacobi map inside the (transcendental) intermediate Jacobian is a complex abelian variety. We show that this abelian variety admits a distinguished model over the original number field, and use it to address a problem of Mazur on modeling the cohomology of an arbitrary smooth projective variety by that of an abelian variety. (This is joint work with Sebastian Casalaina-Martin and Charles Vial.)

A video of this event is available on mathtube.org (http://www.mathtube.org/lecture/video/distinguished-models-intermediate-...).

Location: Video from Colorado State University

Event Date: 
Thursday, February 9, 2017 -
12:00 to 13:00
Event Type: