Geometric Aspects of Dwork Theory : Geometric Aspects of Dwork Theory, Volume 1.

By: Adolphson, AlanContributor(s): Baldassarri, Francesco | Berthelot, Pierre | Katz, Nicholas | Loeser, FrancoisMaterial type: TextTextSeries: De Gruyter Proceedings in Mathematics SerPublisher: Berlin/Boston : De Gruyter, Inc., 2004Copyright date: ©2004Description: 1 online resource (568 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783110198133Subject(s): Geometry, Algebraic | Number theory | p-adic analysisGenre/Form: Electronic books.Additional physical formats: Print version:: Geometric Aspects of Dwork Theory : Geometric Aspects of Dwork Theory, Volume 1DDC classification: 516.3/5 LOC classification: QA564.G47 2004Online resources: Click to View
Contents:
Intro -- 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.
Summary: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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Intro -- 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.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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