p-adic representations of ¼₁ and unit-root F-isocrystals on curves

(Un exposé de Nobuo Tsuzuki au séminaire de théorie des nombres de Chevaleret le 19 juin 2000)

Résumé :

N. Katz and R. Crew proved that the category of p-adic representations of ¼₁ and that of unit-root F-isocrystals on curves of positive characteristic p are equivalent. In this talk I give the equivalence of categories between p-adic representations of ¼₁ with finite local monodromy and overconvergent unit-root F-crystals on curves.