Abelian Varieties Multi-Site Seminar Series: Jeff Achter

  • Date: 02/09/2017
Jeff Achter, Colorado State University

Colorado State University


Distinguished models of intermediate Jacobians [video]


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.


Other Information: 

Main Location: Colorado State University

Time: 11/12/14/20 PST/MST/EST/CET