Work of Philippe Robba.- p-Adic estimates for exponential sums.- p-Adic Betti lattices.- The nonarchimedean Banach-Stone theorem.- Cohomologie rigide et th ie des D-modules.- Extensions de D-modules et groupes de Galois differentiels.- Duality in rigid analysis.- On the Frobenius matrices of fermat curves.- Supercongruences.- Witt realization of the p-adic Barsotti-Tate groups; some applications.- Polyedres de Newton et poids de sommes exponentielles.- De rham cohomology and the Gauss-manin connection for drinfeld modules.- The nonarchimedean extended Teichm ller space.- Sur les coefficients de De Rham-Grothendieck des varietes algebriques.- On a functional equation of igusa's local zeta function.- On vanishing of cohomologies of rigid analytic spaces.- A p-adic analogue of the Chowla-Selberg formula.- The complementation property of ?? in p-adic banach spaces.- Gross-Koblitz formula for function fields.- Three generalizations of Mahler's expansion for continuous functions on ?p.- P-adic symmetric domains.
Inhaltsverzeichnis
Work of Philippe Robba. - p-Adic estimates for exponential sums. - p-Adic Betti lattices. - The nonarchimedean Banach-Stone theorem. - Cohomologie rigide et théorie des D-modules. - Extensions de D-modules et groupes de Galois differentiels. - Duality in rigid analysis. - On the Frobenius matrices of fermat curves. - Supercongruences. - Witt realization of the p-adic Barsotti-Tate groups; some applications. - Polyedres de Newton et poids de sommes exponentielles. - De rham cohomology and the Gauss-manin connection for drinfeld modules. - The nonarchimedean extended Teichmüller space. - Sur les coefficients de De Rham-Grothendieck des varietes algebriques. - On a functional equation of igusa's local zeta function. - On vanishing of cohomologies of rigid analytic spaces. - A p-adic analogue of the Chowla-Selberg formula. - The complementation property of ? ? in p-adic banach spaces. - Gross-Koblitz formula for function fields. - Three generalizations of Mahler's expansion for continuous functions on ? p. - P-adic symmetric domains.