AAG Seminar: Algebraic intermediate Jacobians are arithmetic

Abstract: Let X be a smooth complex projective variety.  Griffiths associates to X an algebraic intermediate Jacobian J, which is an abelian variety which captures some information about algebraically trivial cycles on X.

Now suppose that X is actually defined over a subfield K of the complex numbers.  Sebastian Casalaina-Martin, Charles Vial and I found that J admits a distinguished model over K.  I will explain this observation, and sketch how it sheds light on arithmetic aspects of period maps and normal functions.
 

Host: Wanlin Li