Geometric Aspects of Dwork Theory

Published by De Gruyter 2004

Geometric Aspects of Dwork Theory

Edited by: Alan Adolphson , Francesco Baldassarri , Pierre Berthelot , Nicholas Katz and Francois Loeser

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110198133

Overview
Contents

About this book

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 the p-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 will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.

Reviews

"The proceedings will be useful for a wide range of readers interested in modern applications of p-adic methods."
(spor) in: EMS-Newsletter 9/2007

Topics

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

(Deutsch)

Languages: English, French
Publisher: De Gruyter
Audience: Research Mathematicians; Academic Libraries
Pages
- Main content: 1129
Keywords: Algebraische Geometrie; D-Modul; Zetafunktion

eBook

Published: August 22, 2008
ISBN: 9783110198133

Hardcover

Published: August 25, 2004
ISBN: 9783110174786