Giovedi’ 19 Ottobre 2017 alle ORE 14:30 presso il Dipartimento di Matematica e Fisica dell’Universita’ degli Studi Roma Tre – Largo San Leonardo Murialdo,1 – Pal.C – AULA 211 – il prof. Sebastian Casalaina-Martin (University of Colorado, Boulder) terrà il seguente seminario di Geometria:
Algebraic representatives and intermediate Jacobians over perfect fields
Abstract. 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.