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Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
| Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski |
| Autore | Rogawski Jonathan David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (273 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Unitary groups
Trace formulas Representations of groups Automorphic forms |
| Soggetto non controllato |
Abelian group
Abuse of notation Addition Admissible representation Algebraic closure Algebraic group Algebraic number field Asymptotic expansion Automorphism Base change map Base change Bijection Borel subgroup Cartan subgroup Class function (algebra) Coefficient Combination Compact group Complementary series representation Complex number Congruence subgroup Conjugacy class Continuous function Corollary Countable set Diagram (category theory) Differential operator Dimension (vector space) Dimension Discrete spectrum Division algebra Division by zero Eigenvalues and eigenvectors Embedding Equation Existential quantification Finite set Fourier transform Fundamental lemma (Langlands program) G factor (psychometrics) Galois group Global field Haar measure Hecke algebra Homomorphism Hyperbolic set Index notation Irreducible representation Isomorphism class L-function Langlands classification Linear combination Local field Mathematical induction Maximal compact subgroup Maximal torus Morphism Multiplicative group Neighbourhood (mathematics) Orbital integral Oscillator representation P-adic number Parity (mathematics) Principal series representation Quaternion algebra Quaternion Reductive group Regular element Remainder Representation theory Ring of integers Scientific notation Semisimple algebra Set (mathematics) Shimura variety Simple algebra Smoothness Special case Stable distribution Subgroup Summation Support (mathematics) Tate conjecture Tensor product Theorem Trace formula Triangular matrix Unitary group Variable (mathematics) Weight function Weil group |
| ISBN | 1-4008-8244-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index |
| Record Nr. | UNINA-9910154747203321 |
Rogawski Jonathan David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
| The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris |
| Autore | Harris Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2001] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematics
Shimura varieties MATHEMATICS / Number Theory |
| Soggetto non controllato |
Abelian variety
Absolute value Algebraic group Algebraically closed field Artinian Automorphic form Base change Bijection Canonical map Codimension Coefficient Cohomology Compactification (mathematics) Conjecture Corollary Dimension (vector space) Dimension Direct limit Division algebra Eigenvalues and eigenvectors Elliptic curve Embedding Equivalence class Equivalence of categories Existence theorem Field of fractions Finite field Function field Functor Galois cohomology Galois group Generic point Geometry Hasse invariant Infinitesimal character Integer Inverse system Isomorphism class Lie algebra Local class field theory Maximal torus Modular curve Moduli space Monic polynomial P-adic number Prime number Profinite group Residue field Ring of integers Separable extension Sheaf (mathematics) Shimura variety Simple group Special case Spectral sequence Square root Subset Tate module Theorem Transcendence degree Unitary group Valuative criterion Variable (mathematics) Vector space Weil group Weil pairing Zariski topology |
| ISBN | 1-4008-3720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index |
| Record Nr. | UNINA-9910791960703321 |
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Harris Michael
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| Princeton, NJ : , : Princeton University Press, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Locally Mixed Symmetric Spaces / Bruce Hunt
| Locally Mixed Symmetric Spaces / Bruce Hunt |
| Autore | Hunt, Bruce |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | xix, 622 p. : ill. ; 24 cm |
| Soggetto topico |
55-XX - Algebraic topology [MSC 2020]
53-XX - Differential geometry [MSC 2020] 22-XX - Topological groups, Lie groups [MSC 2020] 53C35 - Differential geometry of symmetric spaces [MSC 2020] 14J27 - Elliptic surfaces, elliptic or Calabi-Yau fibrations [MSC 2020] 53C55 - Global differential geometry of Hermitian and Kahlerian manifolds [MSC 2020] 32M15 - Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) [MSC 2020] 14J25 - Special surfaces [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 55R05 - Fiber spaces in algebraic topology [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 53B35 - Local differential geometry of Hermitian and Kählerian structures [MSC 2020] |
| Soggetto non controllato |
Arithmetic
Arithmetic groups Discrete Fiber spaces Lie groups Shimura variety Symmetric spaces fiber bundleS |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0274886 |
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Hunt, Bruce
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Locally Mixed Symmetric Spaces / Bruce Hunt
| Locally Mixed Symmetric Spaces / Bruce Hunt |
| Autore | Hunt, Bruce |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | xix, 622 p. : ill. ; 24 cm |
| Soggetto topico |
14J25 - Special surfaces [MSC 2020]
14J27 - Elliptic surfaces, elliptic or Calabi-Yau fibrations [MSC 2020] 22-XX - Topological groups, Lie groups [MSC 2020] 22E40 - Discrete subgroups of Lie groups [MSC 2020] 22F30 - Homogeneous spaces [MSC 2020] 32M15 - Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) [MSC 2020] 53-XX - Differential geometry [MSC 2020] 53B35 - Local differential geometry of Hermitian and Kählerian structures [MSC 2020] 53C35 - Differential geometry of symmetric spaces [MSC 2020] 53C55 - Global differential geometry of Hermitian and Kahlerian manifolds [MSC 2020] 55-XX - Algebraic topology [MSC 2020] 55R05 - Fiber spaces in algebraic topology [MSC 2020] |
| Soggetto non controllato |
Arithmetic
Arithmetic groups Discrete Fiber spaces Lie groups Shimura variety Symmetric spaces fiber bundleS |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00274886 |
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Hunt, Bruce
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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On the cohomology of certain noncompact Shimura varieties [[electronic resource] /] / Sophie Morel; with an appendix by Robert Kottwitz
| On the cohomology of certain noncompact Shimura varieties [[electronic resource] /] / Sophie Morel; with an appendix by Robert Kottwitz |
| Autore | Morel Sophie <1979-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (231 p.) |
| Disciplina | 516.3/52 |
| Collana | Annals of mathematics |
| Soggetto topico |
Shimura varieties
Homology theory |
| Soggetto non controllato |
Accuracy and precision
Adjoint Algebraic closure Archimedean property Automorphism Base change map Base change Calculation Clay Mathematics Institute Coefficient Compact element Compact space Comparison theorem Conjecture Connected space Connectedness Constant term Corollary Duality (mathematics) Existential quantification Exterior algebra Finite field Finite set Fundamental lemma (Langlands program) Galois group General linear group Haar measure Hecke algebra Homomorphism L-function Logarithm Mathematical induction Mathematician Maximal compact subgroup Maximal ideal Morphism Neighbourhood (mathematics) Open set Parabolic induction Permutation Prime number Ramanujan–Petersson conjecture Reductive group Ring (mathematics) Scientific notation Shimura variety Simply connected space Special case Sub"ient Subalgebra Subgroup Symplectic group Theorem Trace formula Unitary group Weyl group |
| ISBN |
1-282-45800-0
1-282-93632-8 9786612936326 9786612458002 1-4008-3539-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. The fixed point formula -- Chapter 2. The groups -- Chapter 3. Discrete series -- Chapter 4. Orbital integrals at p -- Chapter 5. The geometric side of the stable trace formula -- Chapter 6. Stabilization of the fixed point formula -- Chapter 7. Applications -- Chapter 8. The twisted trace formula -- Chapter 9. The twisted fundamental lemma -- Appendix. Comparison of two versions of twisted transfer factors -- Bibliography -- Index |
| Record Nr. | UNINA-9910780861803321 |
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Morel Sophie <1979->
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| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport
| Period Spaces for p-divisible Groups (AM-141), Volume 141 / / Thomas Zink, Michael Rapoport |
| Autore | Rapoport Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (347 pages) |
| Disciplina | 512.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
p-divisible groups
Moduli theory p-adic groups |
| Soggetto non controllato |
Abelian variety
Addition Alexander Grothendieck Algebraic closure Algebraic number field Algebraic space Algebraically closed field Artinian ring Automorphism Base change Basis (linear algebra) Big O notation Bilinear form Canonical map Cohomology Cokernel Commutative algebra Commutative ring Complex multiplication Conjecture Covering space Degenerate bilinear form Diagram (category theory) Dimension (vector space) Dimension Duality (mathematics) Elementary function Epimorphism Equation Existential quantification Fiber bundle Field of fractions Finite field Formal scheme Functor Galois group General linear group Geometric invariant theory Hensel's lemma Homomorphism Initial and terminal objects Inner automorphism Integral domain Irreducible component Isogeny Isomorphism class Linear algebra Linear algebraic group Local ring Local system Mathematical induction Maximal ideal Maximal torus Module (mathematics) Moduli space Monomorphism Morita equivalence Morphism Multiplicative group Noetherian ring Open set Orthogonal basis Orthogonal complement Orthonormal basis P-adic number Parity (mathematics) Period mapping Prime element Prime number Projective line Projective space Quaternion algebra Reductive group Residue field Rigid analytic space Semisimple algebra Sheaf (mathematics) Shimura variety Special case Subalgebra Subgroup Subset Summation Supersingular elliptic curve Support (mathematics) Surjective function Symmetric bilinear form Symmetric space Tate module Tensor algebra Tensor product Theorem Topological ring Topology Torsor (algebraic geometry) Uniformization theorem Uniformization Unitary group Weil group Zariski topology |
| ISBN | 1-4008-8260-5 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- 1. p-adic symmetric domains -- 2. Quasi-isogenies of p-divisible groups -- 3. Moduli spaces of p-divisible groups -- Appendix: Normal forms of lattice chains -- 4. The formal Hecke correspondences -- 5. The period morphism and the rigid-analytic coverings -- 6. The p-adic uniformization of Shimura varieties -- Bibliography -- Index |
| Record Nr. | UNINA-9910154754603321 |
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Rapoport Michael
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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