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Geometric Aspects of Dwork Theory : Geometric Aspects of Dwork Theory, Volume 1.
Title:
Geometric Aspects of Dwork Theory : Geometric Aspects of Dwork Theory, Volume 1.
Author:
Adolphson, Alan.
ISBN:
9783110198133
Personal Author:
Physical Description:
1 online resource (568 pages)
Series:
De Gruyter Proceedings in Mathematics
Contents:
Preface -- Table of Contents of Volume I -- Table of Contents of Volume II -- The Mathematical Publications of Bernard Dwork -- Exponential sums and generalized hypergeometricfunctions.I: Cohomology spaces and Frobenius actionAlan Adolphson∗ -- Sur la conjecture des p-courbures deGrothendieck-Katz et un problème de DworkYves André -- Hilbert modular varieties of low dimensionFabrizio Andreatta and Eyal Z. Goren -- On Dwork cohomology for singular hypersurfacesFrancesco Baldassarri and Pierre Berthelot ∗ -- On Dwork cohomology and algebraic D-modulesFrancesco Baldassarri and Andrea D'Agnolo -- An introduction to the theory of p-adicrepresentationsLaurent Berger -- Smooth p-adic analytic spaces are locallycontractible. IIVladimir G. Berkovich∗ -- Germs of analytic varieties in algebraic varieties:canonical metrics and arithmetic algebraizationtheoremsJean-Benoît Bost -- Thirty years laterGilles Christol -- Approximation of eigenforms of infinite slope byeigenforms of finite slopeRobert F. Coleman and William A. Stein -- Crystalline cohomology of singular varietiesRichard Crew∗ -- Stacks of twisted modules and integral transformsAndrea D'Agnolo∗ and Pietro Polesello∗∗ -- On some rational generating series occuring inarithmetic geometryJan Denef and François Loeser -- Compactifications arithmétiques des variétés deHilbert et formes modulaires de Hilbert pour 1(c, n)Mladen Dimitrov.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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