Algebraic representatives and intermediate Jacobians over perfect fields
Sebastian Casalaina-Martin (University of Colorado at Boulder)

Intermediate Jacobians and Abel--Jacobi maps provide a powerful tool for the study of complex projective manifolds. In positive characteristic, over algebraically closed fields, algebraic representatives and regular homomorphisms provide a replacement for the intermediate Jacobian and Abel--Jacobi map. I will discuss recent progress, with Jeff Achter and Charles Vial, extending this theory to the case of perfect fields, as well as some applications to a question of Barry Mazur on weight one Galois representations arising from geometry.

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