Geometric Aspects Of Dwork Theory,9783110174786

Geometric Aspects Of Dwork Theory

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ISBN13: 9783110174786
ISBN10: 3110174782
Format: Hardcover
Pub. Date: 2004-11-30
Publisher(s): De Gruyter
List Price: $687.97

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Summary

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 written by leading experts in the field. The book willprovide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.

Table of Contents

Preface v
Table of Contents of Volume II
ix
The Mathematical Publications of Bernard Dwork xi
Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action
1(42)
Alan Adolphson
Exponential sums and free hyperplane arrangements
43(12)
Alan Adolphson
Steven Sperber
Sur la conjecture des p-courbures de Grothendieck-Katz et un probleme de Dwork
55(58)
Yves Andre
Hilbert modular varieties of low dimension
113(64)
Fabrizio Andreatta
Eyal-Z. Goren
On Dwork cohomology for singular hypersurfaces
177(68)
Francesco Baldassarri
Pierre Berthelot
On Dwork cohomology and algebraic D-modules
245(10)
Francesco Baldassarri
Andrea D' Agnolo
An introduction to the theory of p-adic representations
255(38)
Laurent Berger
Smooth p-adic analytic spaces are locally contractible. II
293(78)
Vladimir G. Berkovich
Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems
371(48)
Jean-Benoit Bost
Thirty years later
419(18)
Gilles Christol
Approximation of eigenforms of infinite slope by eigenforms of finite slope
437(14)
Robert F. Coleman
William A. Stein
Crystalline cohomology of singular varieties
451(12)
Richard Crew
Stacks of twisted modules and integral transforms
463(46)
Andrea D' Agnolo
Pietro Polesello
On some rational generating series occuring in arithmetic geometry
509(18)
Jan Denef
Francois Loeser
Compactifications arithmetiques des varietes de Hilbert et formes modulaires de Hilbert pour Γ1 (c, n)
527(28)
Mladen Dimitrov
Varietes et formes modulaires de Hilbert arithmetiques pour Γ1 (c, n)
555(60)
Mladen Dimitrov
Jacques Tilouine
Introduction to p-adic q-difference equations
615(62)
Lucia Di Vizio
An introduction to the Riemann-Hilbert correspondence for unit F-crystals
677(24)
Matthew Emerton
Mark Kisin
Introduction to L-functions of F-isocrystals
701(10)
Jean-Yves Etesse
Notes on some t-structures
711(24)
Ofer Gabber
Non-vanishing modulo p of Hecke L-values
735(50)
Haruzo Hida
On semistable reduction and the calculation of nearby cycles
785(20)
Luc Illusie
Inequalities related to Lefschetz pencils and integrals of Chern classes
805(14)
Nicholas M. Katz
Rahul Pandharipande
Full faithfulness for overconvergent F-isocrystals
819(18)
Kiran S. Kedlaya
Frobenius action, F-isocrystals and slope filtration
837(8)
Bernard Le Stum
Conjecture on Abbes--Saito filtration and Christol--Mebkhout filtration
845(12)
Shigeki Matsuda
Transformation de Fourier des D-modules arithmetiques I
857(52)
Christine Noot-Huyghe
Boyarsky principle for D-modules and Loeser's conjecture
909(22)
Tomohide Terasoma
Cohomological descent in rigid cohomology
931(52)
Nobuo Tsuzuki
Monodromie locale et fonctions Zeta des log schemas
983(56)
Isabelle Vidal
Trace et dualite relative pour les D-modules arithmetiques
1039(74)
Anne Virrion
Geometric moment zeta functions
1113
Daqing Wan

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