SEMINARIO
DI MATEMATICA
ore 15.00
Scuola Normale
Superiore
Pisa
(Aula Dini)
Niels
Borne
Université
de Lille
Terrà un
seminario dal titolo:
“A criterion of cuspidalization of l-adic
sections”
Abstract
This
is a joint work with Michel Emsalem. A (special case of) a theorem of U.Jannsen
describes when the l-adic cohomology of the complement of two rational points in
a smooth proper curve defined over a number field is pure, as a Galois
representation. We extend this result to an arbitrary affine open subset of the
curve. I will also give an application to a weak version of the "cuspidalization
conjecture", and discuss how this conjecture is related to Grothendieck's famous
section conjecture.
Tutti gli
interessati sono invitati a partecipare.
Classe
di Scienze