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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
Autore Bushnell C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (327 pages) : illustrations
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Representations of groups
Nonstandard mathematical analysis
Soggetto non controllato Abelian group
Abuse of notation
Additive group
Affine Hecke algebra
Algebra homomorphism
Approximation
Automorphism
Bijection
Block matrix
Calculation
Cardinality
Classical group
Computation
Conjecture
Conjugacy class
Contradiction
Corollary
Coset
Critical exponent
Diagonal matrix
Dimension (vector space)
Dimension
Discrete series representation
Discrete valuation ring
Divisor
Eigenvalues and eigenvectors
Equivalence class
Exact sequence
Exactness
Existential quantification
Explicit formula
Explicit formulae (L-function)
Field extension
Finite group
Functor
Gauss sum
General linear group
Group theory
Haar measure
Harmonic analysis
Hecke algebra
Homomorphism
Identity matrix
Induced representation
Integer
Irreducible representation
Isomorphism class
Iwahori subgroup
Jordan normal form
Levi decomposition
Local Langlands conjectures
Local field
Locally compact group
Mathematics
Matrix coefficient
Maximal compact subgroup
Maximal ideal
Multiset
Normal subgroup
P-adic number
Permutation matrix
Polynomial
Profinite group
Quantity
Rational number
Reductive group
Representation theory
Requirement
Residue field
Ring (mathematics)
Scientific notation
Simple module
Special case
Sub"ient
Subgroup
Subset
Support (mathematics)
Symmetric group
Tensor product
Terminology
Theorem
Topological group
Topology
Vector space
Weil group
Weyl group
ISBN 1-4008-8249-4
Classificazione SK 340
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology
Record Nr. UNINA-9910154750803321
Bushnell C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
Autore Douglas Ronald G.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (94 pages) : illustrations
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico C*-algebras
K-theory
Algebra, Homological
Soggetto non controllato Addition
Affine transformation
Algebraic topology
Atiyah–Singer index theorem
Automorphism
Banach algebra
Bijection
Boundary value problem
Bundle map
C*-algebra
Calculation
Cardinal number
Category of abelian groups
Characteristic class
Chern class
Clifford algebra
Coefficient
Cohomology
Compact operator
Completely positive map
Contact geometry
Continuous function
Corollary
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension function
Dimension
Direct integral
Direct proof
Eigenvalues and eigenvectors
Equivalence class
Equivalence relation
Essential spectrum
Euler class
Exact sequence
Existential quantification
Fiber bundle
Finite group
Fredholm operator
Fredholm
Free abelian group
Fundamental class
Fundamental group
Hardy space
Hermann Weyl
Hilbert space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy
Ideal (ring theory)
Inner automorphism
Irreducible representation
K-group
K-theory
Lebesgue space
Locally compact group
Maximal compact subgroup
Michael Atiyah
Monomorphism
Morphism
Natural number
Natural transformation
Normal operator
Operator algebra
Operator norm
Operator theory
Orthogonal group
Pairing
Piecewise linear manifold
Polynomial
Pontryagin class
Positive and negative parts
Positive map
Pseudo-differential operator
Quaternion
Quotient algebra
Self-adjoint operator
Self-adjoint
Simply connected space
Smooth structure
Special case
Stein manifold
Strong topology
Subalgebra
Subgroup
Subset
Summation
Tangent bundle
Theorem
Todd class
Topology
Torsion subgroup
Unitary operator
Universal coefficient theorem
Variable (mathematics)
Von Neumann algebra
ISBN 1-4008-8146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter
Record Nr. UNINA-9910154752903321
Douglas Ronald G.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Autore Kato Kazuya (Kazuya)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Descrizione fisica 1 online resource (349 p.)
Disciplina 514/.74
Collana Annals of Mathematics Studies
Soggetto topico Hodge theory
Logarithms
Soggetto non controllato Algebraic group
Algebraic variety
Analytic manifold
Analytic space
Annulus (mathematics)
Arithmetic group
Atlas (topology)
Canonical map
Classifying space
Coefficient
Cohomology
Compactification (mathematics)
Complex manifold
Complex number
Congruence subgroup
Conjecture
Connected component (graph theory)
Continuous function
Convex cone
Degeneracy (mathematics)
Diagram (category theory)
Differential form
Direct image functor
Divisor
Elliptic curve
Equivalence class
Existential quantification
Finite set
Functor
Geometry
Hodge structure
Hodge theory
Homeomorphism
Homomorphism
Inverse function
Iwasawa decomposition
Local homeomorphism
Local ring
Local system
Logarithmic
Maximal compact subgroup
Modular curve
Modular form
Moduli space
Monodromy
Monoid
Morphism
Natural number
Nilpotent orbit
Nilpotent
Open problem
Open set
P-adic Hodge theory
P-adic number
Point at infinity
Proper morphism
Pullback (category theory)
Quotient space (topology)
Rational number
Relative interior
Ring (mathematics)
Ring homomorphism
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Smooth morphism
Special case
Strong topology
Subgroup
Subobject
Subset
Surjective function
Tangent bundle
Taylor series
Theorem
Topological space
Topology
Transversality (mathematics)
Two-dimensional space
Vector bundle
Vector space
Weak topology
ISBN 1-4008-3711-1
0-691-13822-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index
Record Nr. UNINA-9910791746503321
Kato Kazuya (Kazuya)  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
Autore Kato Kazuya (Kazuya)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Descrizione fisica 1 online resource (349 p.)
Disciplina 514/.74
Collana Annals of Mathematics Studies
Soggetto topico Hodge theory
Logarithms
Soggetto non controllato Algebraic group
Algebraic variety
Analytic manifold
Analytic space
Annulus (mathematics)
Arithmetic group
Atlas (topology)
Canonical map
Classifying space
Coefficient
Cohomology
Compactification (mathematics)
Complex manifold
Complex number
Congruence subgroup
Conjecture
Connected component (graph theory)
Continuous function
Convex cone
Degeneracy (mathematics)
Diagram (category theory)
Differential form
Direct image functor
Divisor
Elliptic curve
Equivalence class
Existential quantification
Finite set
Functor
Geometry
Hodge structure
Hodge theory
Homeomorphism
Homomorphism
Inverse function
Iwasawa decomposition
Local homeomorphism
Local ring
Local system
Logarithmic
Maximal compact subgroup
Modular curve
Modular form
Moduli space
Monodromy
Monoid
Morphism
Natural number
Nilpotent orbit
Nilpotent
Open problem
Open set
P-adic Hodge theory
P-adic number
Point at infinity
Proper morphism
Pullback (category theory)
Quotient space (topology)
Rational number
Relative interior
Ring (mathematics)
Ring homomorphism
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Smooth morphism
Special case
Strong topology
Subgroup
Subobject
Subset
Surjective function
Tangent bundle
Taylor series
Theorem
Topological space
Topology
Transversality (mathematics)
Two-dimensional space
Vector bundle
Vector space
Weak topology
ISBN 1-4008-3711-1
0-691-13822-2
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index
Record Nr. UNINA-9910809577303321
Kato Kazuya (Kazuya)  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
Autore Gorodnik Alexander <1975->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (136 p.)
Disciplina 515/.48
Altri autori (Persone) NevoAmos <1966->
Collana Annals of mathematics studies
Soggetto topico Ergodic theory
Lie groups
Lattice theory
Harmonic analysis
Dynamics
Soggetto non controllato Absolute continuity
Algebraic group
Amenable group
Asymptote
Asymptotic analysis
Asymptotic expansion
Automorphism
Borel set
Bounded function
Bounded operator
Bounded set (topological vector space)
Congruence subgroup
Continuous function
Convergence of random variables
Convolution
Coset
Counting problem (complexity)
Counting
Differentiable function
Dimension (vector space)
Diophantine approximation
Direct integral
Direct product
Discrete group
Embedding
Equidistribution theorem
Ergodic theory
Ergodicity
Estimation
Explicit formulae (L-function)
Family of sets
Haar measure
Hilbert space
Hyperbolic space
Induced representation
Infimum and supremum
Initial condition
Interpolation theorem
Invariance principle (linguistics)
Invariant measure
Irreducible representation
Isometry group
Iwasawa group
Lattice (group)
Lie algebra
Linear algebraic group
Linear space (geometry)
Lipschitz continuity
Mass distribution
Mathematical induction
Maximal compact subgroup
Maximal ergodic theorem
Measure (mathematics)
Mellin transform
Metric space
Monotonic function
Neighbourhood (mathematics)
Normal subgroup
Number theory
One-parameter group
Operator norm
Orthogonal complement
P-adic number
Parametrization
Parity (mathematics)
Pointwise convergence
Pointwise
Principal homogeneous space
Principal series representation
Probability measure
Probability space
Probability
Rate of convergence
Regular representation
Representation theory
Resolution of singularities
Sobolev space
Special case
Spectral gap
Spectral method
Spectral theory
Square (algebra)
Subgroup
Subsequence
Subset
Symmetric space
Tensor algebra
Tensor product
Theorem
Transfer principle
Unit sphere
Unit vector
Unitary group
Unitary representation
Upper and lower bounds
Variable (mathematics)
Vector group
Vector space
Volume form
Word metric
ISBN 1-282-30380-5
9786612303807
1-4008-3106-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index
Record Nr. UNINA-9910781200803321
Gorodnik Alexander <1975->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (445 pages) : illustrations
Disciplina 512/.73
Collana Annals of Mathematics Studies
Soggetto topico Exponential sums
Differential equations
Soggetto non controllato Adjoint representation
Algebraic geometry
Algebraic integer
Algebraically closed field
Automorphism
Base change
Bernard Dwork
Big O notation
Bijection
Calculation
Characteristic polynomial
Codimension
Coefficient
Cohomology
Comparison theorem
Complex manifold
Conjugacy class
Connected component (graph theory)
Convolution
Determinant
Diagram (category theory)
Differential Galois theory
Differential equation
Dimension (vector space)
Dimension
Direct sum
Divisor
Eigenvalues and eigenvectors
Endomorphism
Equation
Euler characteristic
Existential quantification
Exponential sum
Fiber bundle
Field of fractions
Finite field
Formal power series
Fourier transform
Fundamental group
Fundamental representation
Galois extension
Galois group
Gauss sum
Generic point
Group theory
Homomorphism
Hypergeometric function
Identity component
Identity element
Integer
Irreducibility (mathematics)
Irreducible representation
Isogeny
Isomorphism class
L-function
Laurent polynomial
Lie algebra
Logarithm
Mathematical induction
Matrix coefficient
Maximal compact subgroup
Maximal torus
Mellin transform
Monic polynomial
Monodromy theorem
Monodromy
Monomial
Natural number
Normal subgroup
P-adic number
Permutation
Polynomial
Prime number
Pullback
Quotient group
Reductive group
Regular singular point
Representation theory
Ring homomorphism
Root of unity
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Subring
Subset
Summation
Surjective function
Symmetric group
Tensor product
Theorem
Theory
Three-dimensional space (mathematics)
Torsor (algebraic geometry)
Trichotomy (mathematics)
Unitarian trick
Unitary group
Variable (mathematics)
ISBN 1-4008-8243-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References
Record Nr. UNINA-9910154744703321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (257 pages) : illustrations
Disciplina 512/.7
Collana Annals of Mathematics Studies
Soggetto topico Gaussian sums
Kloosterman sums
Homology theory
Monodromy groups
Soggetto non controllato Abelian category
Absolute Galois group
Absolute value
Additive group
Adjoint representation
Affine variety
Algebraic group
Automorphic form
Automorphism
Big O notation
Cartan subalgebra
Characteristic polynomial
Classification theorem
Coefficient
Cohomology
Cokernel
Combination
Commutator
Compactification (mathematics)
Complex Lie group
Complex number
Conjugacy class
Continuous function
Convolution theorem
Convolution
Determinant
Diagonal matrix
Dimension (vector space)
Direct sum
Dual basis
Eigenvalues and eigenvectors
Empty set
Endomorphism
Equidistribution theorem
Estimation
Exactness
Existential quantification
Exponential sum
Exterior algebra
Faithful representation
Finite field
Finite group
Four-dimensional space
Frobenius endomorphism
Fundamental group
Fundamental representation
Galois group
Gauss sum
Homomorphism
Integer
Irreducibility (mathematics)
Isomorphism class
Kloosterman sum
L-function
Leray spectral sequence
Lie algebra
Lie theory
Maximal compact subgroup
Method of moments (statistics)
Monodromy theorem
Monodromy
Morphism
Multiplicative group
Natural number
Nilpotent
Open problem
P-group
Pairing
Parameter space
Parameter
Partially ordered set
Perfect field
Point at infinity
Polynomial ring
Prime number
Quotient group
Representation ring
Representation theory
Residue field
Riemann hypothesis
Root of unity
Sheaf (mathematics)
Simple Lie group
Skew-symmetric matrix
Smooth morphism
Special case
Spin representation
Subgroup
Support (mathematics)
Symmetric matrix
Symplectic group
Symplectic vector space
Tensor product
Theorem
Trace (linear algebra)
Trivial representation
Variable (mathematics)
Weil conjectures
Weyl character formula
Zariski topology
ISBN 1-4008-8212-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References
Record Nr. UNINA-9910154750003321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Morel Sophie <1979->  
Princeton, : Princeton University Press, c2010
Materiale a stampa
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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
Autore Arthur James
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (248 pages) : illustrations
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Representations of groups
Trace formulas
Automorphic forms
Soggetto non controllato 0E
Addition
Admissible representation
Algebraic group
Algebraic number field
Approximation
Archimedean property
Automorphic form
Automorphism
Base change
Big O notation
Binomial coefficient
Canonical map
Cartan subalgebra
Cartan subgroup
Central simple algebra
Characteristic polynomial
Closure (mathematics)
Combination
Computation
Conjecture
Conjugacy class
Connected component (graph theory)
Continuous function
Contradiction
Corollary
Counting
Coxeter element
Cusp form
Cyclic permutation
Dense set
Density theorem
Determinant
Diagram (category theory)
Discrete series representation
Discrete spectrum
Division algebra
Eigenvalues and eigenvectors
Eisenstein series
Exact sequence
Existential quantification
Field extension
Finite group
Finite set
Fourier transform
Functor
Fundamental lemma (Langlands program)
Galois extension
Galois group
Global field
Grothendieck group
Group representation
Haar measure
Harmonic analysis
Hecke algebra
Hilbert's Theorem 90
Identity component
Induced representation
Infinite product
Infinitesimal character
Invariant measure
Irreducibility (mathematics)
Irreducible representation
L-function
Langlands classification
Laurent series
Lie algebra
Lie group
Linear algebraic group
Local field
Mathematical induction
Maximal compact subgroup
Multiplicative group
Nilpotent group
Orbital integral
P-adic number
Paley–Wiener theorem
Parameter
Parametrization
Permutation
Poisson summation formula
Real number
Reciprocal lattice
Reductive group
Root of unity
Scientific notation
Semidirect product
Special case
Spherical harmonics
Subgroup
Subset
Summation
Support (mathematics)
Tensor product
Theorem
Trace formula
Unitary representation
Weil group
Weyl group
Zero of a function
ISBN 1-4008-8240-0
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Local Results -- Chapter 2. The Global Comparison -- Chapter 3. Base Change -- Bibliography
Record Nr. UNINA-9910154743703321
Arthur James  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui