Full Description
The International Conference on p-adic Analysis is usually held every 3-4 years with the purpose of exchanging information at research level on new trends in the subject and of reporting on progress in central problems. This particular conference, held in Trento, Italy in May 1989, was dedicated to the memory of Philippe Robba, his important contributions to p-adic analysis and especially to the theory of p-adic differential equations. The conference was characterized by the discussion of numerous algebraic geometries. Rigid cohomology, D-modules and the action of Frobenius on the cohomology of curves and abelian varieties were the central themes of several contributions. A number of talks were devoted to exponential sums, a theme connecting p-adic analysis, algebraic geometry and number theory. Other themes were p-adic moduli spaces, non-Archimedean functional analysis, Barsotti-Tate groups and Drinfeld modules.
Contents
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.
