Eisenstein Cohomology for GL‹sub›N‹/sub› and the Special Values of Rankin–Selberg L-Functions : : (AMS-203) / / Anantharam Raghuram, Günter Harder.
This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system at...
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Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©2020 |
Year of Publication: | 2019 |
Language: | English |
Series: | Annals of Mathematics Studies ;
203 |
Online Access: | |
Physical Description: | 1 online resource (240 p.) :; 1 b/w illus. |
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LEADER | 08718nam a22020775i 4500 | ||
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024 | 7 | |a 10.1515/9780691197937 |2 doi | |
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035 | |a (OCoLC)1125191176 | ||
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072 | 7 | |a MAT022000 |2 bisacsh | |
082 | 0 | 4 | |a 514.23 |2 23 |
100 | 1 | |a Harder, Günter, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Eisenstein Cohomology for GL‹sub›N‹/sub› and the Special Values of Rankin–Selberg L-Functions : |b (AMS-203) / |c Anantharam Raghuram, Günter Harder. |
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2019] | |
264 | 4 | |c ©2020 | |
300 | |a 1 online resource (240 p.) : |b 1 b/w illus. | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Annals of Mathematics Studies ; |v 203 | |
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t 1. Introduction -- |t 2. The Cohomology of GLn -- |t 3. Analytic Tools -- |t 4. Boundary Cohomology -- |t 5. The Strongly Inner Spectrum and Applications -- |t 6. Eisenstein Cohomology -- |t 7. L-Functions -- |t 8. Harish-Chandra Modules over Z -- |t 9. The Archimedean Intertwining Operator -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of the global cohomology in the cohomology of the Borel–Serre boundary is called Eisenstein cohomology, since at a transcendental level the cohomology classes may be described in terms of Eisenstein series and induced representations. However, because the groups are sheaf-theoretically defined, one can control their rationality and even integrality properties. A celebrated theorem by Langlands describes the constant term of an Eisenstein series in terms of automorphic L-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality properties of the special values of Rankin–Selberg L-functions for GL(n) x GL(m), where n + m = N. The authors carry through the entire program with an eye toward generalizations.This book should be of interest to advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 27. Jan 2023) | |
650 | 0 | |a Arithmetic groups. | |
650 | 0 | |a Cohomology operations. | |
650 | 0 | |a Eisenstein series. | |
650 | 0 | |a Homology theory. | |
650 | 0 | |a L-functions. | |
650 | 0 | |a Number theory. | |
650 | 0 | |a Shimura varieties. | |
650 | 7 | |a MATHEMATICS / Number Theory. |2 bisacsh | |
653 | |a Addition. | ||
653 | |a Adele ring. | ||
653 | |a Algebraic group. | ||
653 | |a Algebraic number theory. | ||
653 | |a Arithmetic group. | ||
653 | |a Automorphic form. | ||
653 | |a Base change. | ||
653 | |a Basis (linear algebra). | ||
653 | |a Bearing (navigation). | ||
653 | |a Borel subgroup. | ||
653 | |a Calculation. | ||
653 | |a Category of groups. | ||
653 | |a Coefficient. | ||
653 | |a Cohomology. | ||
653 | |a Combination. | ||
653 | |a Commutative ring. | ||
653 | |a Compact group. | ||
653 | |a Computation. | ||
653 | |a Conjecture. | ||
653 | |a Constant term. | ||
653 | |a Corollary. | ||
653 | |a Covering space. | ||
653 | |a Critical value. | ||
653 | |a Diagram (category theory). | ||
653 | |a Dimension. | ||
653 | |a Dirichlet character. | ||
653 | |a Discrete series representation. | ||
653 | |a Discrete spectrum. | ||
653 | |a Eigenvalues and eigenvectors. | ||
653 | |a Eisenstein series. | ||
653 | |a Elaboration. | ||
653 | |a Embedding. | ||
653 | |a Euler product. | ||
653 | |a Field extension. | ||
653 | |a Field of fractions. | ||
653 | |a Free module. | ||
653 | |a Freydoon Shahidi. | ||
653 | |a Function field. | ||
653 | |a Functor. | ||
653 | |a Galois group. | ||
653 | |a Ground field. | ||
653 | |a Group (mathematics). | ||
653 | |a Group scheme. | ||
653 | |a Harish-Chandra. | ||
653 | |a Hecke L-function. | ||
653 | |a Hecke character. | ||
653 | |a Hecke operator. | ||
653 | |a Hereditary property. | ||
653 | |a Induced representation. | ||
653 | |a Irreducible representation. | ||
653 | |a K0. | ||
653 | |a L-function. | ||
653 | |a Langlands dual group. | ||
653 | |a Level structure. | ||
653 | |a Lie algebra cohomology. | ||
653 | |a Lie algebra. | ||
653 | |a Lie group. | ||
653 | |a Linear combination. | ||
653 | |a Linear map. | ||
653 | |a Local system. | ||
653 | |a Maximal torus. | ||
653 | |a Modular form. | ||
653 | |a Modular symbol. | ||
653 | |a Module (mathematics). | ||
653 | |a Monograph. | ||
653 | |a N0. | ||
653 | |a National Science Foundation. | ||
653 | |a Natural number. | ||
653 | |a Natural transformation. | ||
653 | |a Nilradical. | ||
653 | |a Number theory. | ||
653 | |a Permutation. | ||
653 | |a Prime number. | ||
653 | |a Quantity. | ||
653 | |a Rational number. | ||
653 | |a Reductive group. | ||
653 | |a Requirement. | ||
653 | |a Ring of integers. | ||
653 | |a Root of unity. | ||
653 | |a SL2(R). | ||
653 | |a Scalar (physics). | ||
653 | |a Sheaf (mathematics). | ||
653 | |a Special case. | ||
653 | |a Spectral sequence. | ||
653 | |a Standard L-function. | ||
653 | |a Subgroup. | ||
653 | |a Subset. | ||
653 | |a Summation. | ||
653 | |a Tensor product. | ||
653 | |a Theorem. | ||
653 | |a Theory. | ||
653 | |a Triangular matrix. | ||
653 | |a Triviality (mathematics). | ||
653 | |a Two-dimensional space. | ||
653 | |a Unitary group. | ||
653 | |a Vector space. | ||
653 | |a W0. | ||
653 | |a Weyl group. | ||
700 | 1 | |a Harder, Günter, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Raghuram, Anantharam, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
700 | 1 | |a Weselmann, Uwe, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2019 English |z 9783110610765 |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2019 English |z 9783110610406 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2019 |z 9783110606362 |o ZDB-23-DMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2020 |z 9783110690088 |
776 | 0 | |c print |z 9780691197883 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9780691197937?locatt=mode:legacy |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691197937 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691197937/original |
912 | |a 978-3-11-061040-6 EBOOK PACKAGE Mathematics 2019 English |b 2019 | ||
912 | |a 978-3-11-061076-5 EBOOK PACKAGE COMPLETE 2019 English |b 2019 | ||
912 | |a 978-3-11-069008-8 Princeton University Press Complete eBook-Package 2020 |b 2020 | ||
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