P-Adic Analysis: Proceedings of the International Conference Held in Trento, Italy, May 29-June 2, 1989

ISBN-13: 9783540534778 / Angielski / Miękka / 1990 / 384 str.

Francesco Baldassari; Siegfried Bosch; Bernard Dwork

Opis

Dedicated to Philippe Robba, this conference was characterized by the discussion of numerous algebraic geometries. Other papers were devoted to exponential sums, a theme connecting p-adic analysis to number theory.

Spis treści

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.