Seminari del Dipartimento



Algebraic representatives and intermediate Jacobians over perfect fields

Sebastian Casalaina-Martin

19-10-2017 - 14:30
Largo San Leonardo Murialdo,1 - Pal.C - AULA 211


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.
org: VIVIANI Filippo


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