Back to Algebraic Geometry Seminar: Fall 2016
Algebraic Geometry Seminar
Date: Tuesday, Nov 29, 2016
Time: 3:30PM - 4:30PM
Location: LCB 222
Jeff Achter
Colorado State University
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.) |
Algebraic Geometry