Special Values Of Automorphic Cohomology Classes


Special Values Of Automorphic Cohomology Classes
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Special Values Of Automorphic Cohomology Classes


Special Values Of Automorphic Cohomology Classes
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Author : Mark Green
language : en
Publisher:
Release Date : 2014

Special Values Of Automorphic Cohomology Classes written by Mark Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Automorphic forms categories.


"Volume 231, number 1088 (fifth of 5 numbers), September 2014."



Special Values Of Automorphic Cohomology Classes


Special Values Of Automorphic Cohomology Classes
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Author : Mark Green
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-08-12

Special Values Of Automorphic Cohomology Classes written by Mark Green and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-12 with Mathematics categories.


The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains which occur as open -orbits in the flag varieties for and , regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces give rise to Penrose transforms between the cohomologies of distinct such orbits with coefficients in homogeneous line bundles.



Eisenstein Cohomology For Gln And The Special Values Of Rankin Selberg L Functions


Eisenstein Cohomology For Gln And The Special Values Of Rankin Selberg L Functions
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Author : Günter Harder
language : en
Publisher: Princeton University Press
Release Date : 2019-12-03

Eisenstein Cohomology For Gln And The Special Values Of Rankin Selberg L Functions written by Günter Harder and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-03 with Mathematics categories.


Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.



Cohomology Of Arithmetic Groups And Automorphic Forms


Cohomology Of Arithmetic Groups And Automorphic Forms
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Author : Jean-Pierre Labesse
language : en
Publisher: Springer
Release Date : 1990

Cohomology Of Arithmetic Groups And Automorphic Forms written by Jean-Pierre Labesse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


Expansions of talks given at the conference held May 1989, Marseilles, France. Topics include modular symbols, Eisenstein series and cohomology, finiteness theorems for ball lattices, Hilbert modular forms, Lefschetz numbers for arithmetic groups. Annotation copyrighted by Book News, Inc., Portland, OR



Holomorphic Automorphic Forms And Cohomology


Holomorphic Automorphic Forms And Cohomology
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Author : Roelof W. Bruggeman
language : en
Publisher:
Release Date : 2018

Holomorphic Automorphic Forms And Cohomology written by Roelof W. Bruggeman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Algebraic topology categories.




Cohomology Of Arithmetic Groups And Automorphic Forms


Cohomology Of Arithmetic Groups And Automorphic Forms
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Author : Jean-Pierre Labesse
language : en
Publisher: Springer
Release Date : 2006-11-14

Cohomology Of Arithmetic Groups And Automorphic Forms written by Jean-Pierre Labesse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.



Spectral Means Of Central Values Of Automorphic L Functions For Gl 2


Spectral Means Of Central Values Of Automorphic L Functions For Gl 2
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Author : Masao Tsuzuki
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-04-09

Spectral Means Of Central Values Of Automorphic L Functions For Gl 2 written by Masao Tsuzuki and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-09 with Mathematics categories.


Starting with Green's functions on adele points of considered over a totally real number field, the author elaborates an explicit version of the relative trace formula, whose spectral side encodes the informaton on period integrals of cuspidal waveforms along a maximal split torus. As an application, he proves two kinds of asymptotic mean formula for certain central -values attached to cuspidal waveforms with square-free level.



Cohomology Of Arithmetic Groups And Automorphic Forms


Cohomology Of Arithmetic Groups And Automorphic Forms
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Author : Jean-Pierre Labesse
language : en
Publisher:
Release Date : 2014-09-01

Cohomology Of Arithmetic Groups And Automorphic Forms written by Jean-Pierre Labesse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.




Period Functions For Maass Wave Forms And Cohomology


Period Functions For Maass Wave Forms And Cohomology
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Author : R. Bruggeman
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-08-21

Period Functions For Maass Wave Forms And Cohomology written by R. Bruggeman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-21 with Algebraic topology categories.


The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups Γ⊂PSL2(R). In the case that Γ is the modular group PSL2(Z) this gives a cohomological framework for the results in Period functions for Maass wave forms. I, of J. Lewis and D. Zagier in Ann. Math. 153 (2001), 191-258, where a bijection was given between cuspidal Maass forms and period functions. The authors introduce the concepts of mixed parabolic cohomology group and semi-analytic vectors in principal series representation. This enables them to describe cohomology groups isomorphic to spaces of Maass cusp forms, spaces spanned by residues of Eisenstein series, and spaces of all Γ-invariant eigenfunctions of the Laplace operator. For spaces of Maass cusp forms the authors also describe isomorphisms to parabolic cohomology groups with smooth coefficients and standard cohomology groups with distribution coefficients. They use the latter correspondence to relate the Petersson scalar product to the cup product in cohomology.



Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms


Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms
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Author : Peter Stiller
language : en
Publisher: American Mathematical Soc.
Release Date : 1984

Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms written by Peter Stiller and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.