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Geometric aspects of Dwork theory / / edited by Alan Adolphson ... [et al.]



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Titolo: Geometric aspects of Dwork theory / / edited by Alan Adolphson ... [et al.] Visualizza cluster
Pubblicazione: Berlin ; ; New York, : W. de Gruyter, 2004
Edizione: 1st ed.
Descrizione fisica: 1 online resource (568 p.)
Disciplina: 516.3/5
Soggetto topico: Geometry, Algebraic
Number theory
p-adic analysis
Altri autori: AdolphsonAlan <1951->  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Geometric Aspects of Dwork Theory. Volume I -- Front matter -- Table of Contents of Volume I -- The Mathematical Publications of Bernard Dwork -- Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action -- Exponential sums and free hyperplane arrangements -- Sur la conjecture des p-courbures de Grothendieck-Katz et un problème de Dwork -- Hilbert modular varieties of low dimension -- On Dwork cohomology for singular hypersurfaces -- On Dwork cohomology and algebraic D-modules -- An introduction to the theory of p-adic representations -- Smooth p-adic analytic spaces are locally contractible. II -- Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems -- Thirty years later -- Approximation of eigenforms of infinite slope by eigenforms of finite slope -- Crystalline cohomology of singular varieties -- Stacks of twisted modules and integral transforms -- On some rational generating series occuring in arithmetic geometry -- Compactifications arithmétiques des variétés de Hilbert et formes modulaires de Hilbert pour Γ1(c, n) -- Geometric Aspects of Dwork Theory. Volume II -- Fr -ont matter Table of Contents of Volume II -- Variétés et formes modulaires de Hilbert arithmétiques pour Γ1(c, n) -- Introduction to p-adic q-difference equations (weak Frobenius structure and transfer theorems) -- An introduction to the Riemann-Hilbert correspondence for unit F-crystals -- Introduction to L-functions of F-isocrystals -- Notes on some t-structures -- Non-vanishing modulo p of Hecke L-values -- On semistable reduction and the calculation of nearby cycles -- Inequalities related to Lefschetz pencils and integrals of Chern classes -- Full faithfulness for overconvergent F-isocrystals -- Frobenius action, F-isocrystals and slope filtration -- Conjecture on Abbes-Saito filtration and Christol-Mebkhout filtration -- Transformation de Fourier des D-modules arithmétiques I -- Boyarsky principle for D-modules and Loeser's conjecture -- Cohomological descent in rigid cohomology -- Monodromie locale et fonctions Zêta des log schémas -- Trace et dualité relative pour les D-modules arithmétiques -- Geometric moment zeta functions
Sommario/riassunto: This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of thep-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles
Titolo autorizzato: Geometric aspects of Dwork theory  Visualizza cluster
ISBN: 1-282-19438-0
9786612194382
3-11-019813-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910816266803321
Lo trovi qui: Univ. Federico II
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Serie: De Gruyter Proceedings in Mathematics