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Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific Publishing, c2005
Descrizione fisica 1 online resource (338 p.)
Disciplina 515/.9
Soggetto topico Automorphic forms
Shimura varieties
Soggetto genere / forma Electronic books.
ISBN 1-281-89926-7
9786611899264
981-270-332-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2)
Record Nr. UNINA-9910450692503321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific Publishing, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific Publishing, c2005
Descrizione fisica 1 online resource (338 p.)
Disciplina 515/.9
Soggetto topico Automorphic forms
Shimura varieties
ISBN 1-281-89926-7
9786611899264
981-270-332-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2)
Record Nr. UNINA-9910783926903321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific Publishing, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic forms and Shimura varieties of PGSp (2) / / by Yuval Z. Flicker
Automorphic forms and Shimura varieties of PGSp (2) / / by Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, N.J., : World Scientific Publishing, c2005
Descrizione fisica 1 online resource (338 p.)
Disciplina 515/.9
Soggetto topico Automorphic forms
Shimura varieties
ISBN 1-281-89926-7
9786611899264
981-270-332-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2)
Record Nr. UNINA-9910817990603321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific Publishing, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, c2006
Descrizione fisica 1 online resource (xi, 485 p.)
Disciplina 512.22
Soggetto topico Representations of groups
Unitary groups
Lifting theory
Automorphic forms
Trace formulas
Soggetto genere / forma Electronic books.
ISBN 1-281-92488-1
9786611924881
981-277-362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case.
Record Nr. UNINA-9910451547603321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Automorphic representations of low rank groups [[electronic resource] /] / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, c2006
Descrizione fisica 1 online resource (xi, 485 p.)
Disciplina 512.22
Soggetto topico Representations of groups
Unitary groups
Lifting theory
Automorphic forms
Trace formulas
ISBN 1-281-92488-1
9786611924881
981-277-362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case.
Record Nr. UNINA-9910777496103321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic representations of low rank groups / / Yuval Z. Flicker
Automorphic representations of low rank groups / / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, c2006
Descrizione fisica 1 online resource (xi, 485 p.)
Disciplina 512.22
Soggetto topico Representations of groups
Unitary groups
Lifting theory
Automorphic forms
Trace formulas
ISBN 1-281-92488-1
9786611924881
981-277-362-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- pt. 1. On the symmetric square lifting introduction. 1. Functoriality and norms. 1.1. Hecke algebra. 1.2. Norms. 1.3. Local lifting. 1.4. Orthogonality. II. Orbital integrals. II.1. Fundamental lemma. II.2. Differential forms. II.3. Matching orbital integrals. II.4. Germ expansion. III. Twisted trace formula. III.1. Geometric side. III.2. Analytic side. III.3. Trace formulae. IV. Total global comparison. IV. Total global comparison. IV.1. The comparison. IV.2. Appendix: Mathematica program. V. Applications of a trace formula. V.1. Approximation. V.2. Main theorems. V.3. Characters and genericity. VI. Computation of a twisted character. VI.1. Proof of theorem, anisotropic case. VI.2. Proof of theorem, isotropic case -- pt. 2. Automorphic representations of the unitary group U(3,E/F) introduction. 1. Functorial overview. 2. Statement of results. I. Local theory. I.1. Conjugacy classes. I.2. Orbital integrals. I.3. Fundamental lemma. I.4. Admissible representations. I.5. Representations of U(2,1;C/R). 1.6. Fundamental lemma again. II. Trace formula. II.1. Stable trace formula. II.2. Twisted trace formula. II.3. Restricted comparison. II.4. Trace identity. II.5. The [symbol]-endo-lifting e'. II.6. The quasi-endo-lifting e. II.7. Unitary symmetric square. III. Liftings and packets. III.1. Local identity. III.2. Separation. III.3. Specific lifts. III.4. Whittaker models and twisted characters. III.5. Global lifting. III.6. Concluding remarks -- pt. 3. Zeta functions of Shimura varieties of U(3) introduction. 1. Statement of results. 2. The zeta function. I. Preliminaries. I.1. The Shumira variety. I.2. Decomposition of cohomology. I.3. Galois representations. II. Automorphic representations. II.1. Stabilization and the test function. II.2. Functorial overview of basechange for U(3). II.3. Local results on basechange for U(3). II.4. Global results on basechange for U(3). II.5. Spectral side of the stable trace formula. II.6. Proper endoscopic group. III. Local terms. III.1. The reflex field. III.2. The representation of the dual group. III.3. Local terms at p. III.4. The eigenvalues at p. III.5. Terms at p for the endoscopic group. IV. Real representations. IV.1. Representations of the real GL(2). IV.2. Representations of U(2,l). IV.3. Finite-dimensional representations. V. Galois representations. V.1. Stable case. V.2. Unstable case. V.3. Nontempered case.
Record Nr. UNINA-9910807466103321
Flicker Yuval Z (Yuval Zvi), <1955->  
Hackensack, N.J., : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Matching of orbital integrals on GL(4) and GSp(2) / / Yuval Z. Flicker
Matching of orbital integrals on GL(4) and GSp(2) / / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1999
Descrizione fisica 1 online resource (127 p.)
Disciplina 510 s
512/.74
Collana Memoirs of the American Mathematical Society
Soggetto topico Symplectic groups
Trace formulas
Orbit method
Representations of groups
Soggetto genere / forma Electronic books.
ISBN 1-4704-0244-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Part I. Preparations""; ""A. Statement of Theorem""; ""B. Stable conjugacy""; ""C. Explicit representatives""; ""D. Stable Î?-conjugacy""; ""E. Useful facts""; ""F. Endoscopic groups""; ""G. Instability""; ""H. Kazhdan's decomposition""; ""I. Decompositions for GL(2)""; ""J. Decomposition for Sp(2)""; ""Part II. Main comparison""; ""A. Strategy""; ""B. Twisted orbital integrals of type (I)""; ""C. Orbital integrals of type (I)""; ""D. Comparison in stable case (I), E/F unramified""; ""E. Comparison in stable case (I), E/F ramified""
""F. Endoscopy for H = GS[sub(p)](2), type (I)""""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Twisted endoscopic group of type I.F.3, E/F unramified""; ""G. Twisted orbital integrals of type (II)""; ""H. Orbital integrals of type (II)""; ""I. Comparison in case (II), E/E[sub(3)] ramified (e = 2)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""J. Comparison in case (II), E/E[sub(3)] unramified (e = 1)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.3""; ""K. Endoscopy for GS[sub(p)](2), type (II)""; ""L. Comparison in case (III)""
""Unstable twisted case. Twisted endoscopic group of type I.F.2""""M. Comparison in case (IV)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Part III. Semi simple reduction""; ""A. Review""; ""B. Case of torus of type (I)""; ""C. Case of torus of type (II)""; ""D. Case of torus of type (III)""; ""E. Case of torus of type (IV)""; ""References""
Record Nr. UNINA-9910480499003321
Flicker Yuval Z (Yuval Zvi), <1955->  
Providence, Rhode Island : , : American Mathematical Society, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Matching of orbital integrals on GL(4) and GSp(2) / / Yuval Z. Flicker
Matching of orbital integrals on GL(4) and GSp(2) / / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1999
Descrizione fisica 1 online resource (127 p.)
Disciplina 510 s
512/.74
Collana Memoirs of the American Mathematical Society
Soggetto topico Symplectic groups
Trace formulas
Orbit method
Representations of groups
ISBN 1-4704-0244-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Part I. Preparations""; ""A. Statement of Theorem""; ""B. Stable conjugacy""; ""C. Explicit representatives""; ""D. Stable Î?-conjugacy""; ""E. Useful facts""; ""F. Endoscopic groups""; ""G. Instability""; ""H. Kazhdan's decomposition""; ""I. Decompositions for GL(2)""; ""J. Decomposition for Sp(2)""; ""Part II. Main comparison""; ""A. Strategy""; ""B. Twisted orbital integrals of type (I)""; ""C. Orbital integrals of type (I)""; ""D. Comparison in stable case (I), E/F unramified""; ""E. Comparison in stable case (I), E/F ramified""
""F. Endoscopy for H = GS[sub(p)](2), type (I)""""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Twisted endoscopic group of type I.F.3, E/F unramified""; ""G. Twisted orbital integrals of type (II)""; ""H. Orbital integrals of type (II)""; ""I. Comparison in case (II), E/E[sub(3)] ramified (e = 2)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""J. Comparison in case (II), E/E[sub(3)] unramified (e = 1)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.3""; ""K. Endoscopy for GS[sub(p)](2), type (II)""; ""L. Comparison in case (III)""
""Unstable twisted case. Twisted endoscopic group of type I.F.2""""M. Comparison in case (IV)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Part III. Semi simple reduction""; ""A. Review""; ""B. Case of torus of type (I)""; ""C. Case of torus of type (II)""; ""D. Case of torus of type (III)""; ""E. Case of torus of type (IV)""; ""References""
Record Nr. UNINA-9910788736803321
Flicker Yuval Z (Yuval Zvi), <1955->  
Providence, Rhode Island : , : American Mathematical Society, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Matching of orbital integrals on GL(4) and GSp(2) / / Yuval Z. Flicker
Matching of orbital integrals on GL(4) and GSp(2) / / Yuval Z. Flicker
Autore Flicker Yuval Z (Yuval Zvi), <1955->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1999
Descrizione fisica 1 online resource (127 p.)
Disciplina 510 s
512/.74
Collana Memoirs of the American Mathematical Society
Soggetto topico Symplectic groups
Trace formulas
Orbit method
Representations of groups
ISBN 1-4704-0244-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Part I. Preparations""; ""A. Statement of Theorem""; ""B. Stable conjugacy""; ""C. Explicit representatives""; ""D. Stable Î?-conjugacy""; ""E. Useful facts""; ""F. Endoscopic groups""; ""G. Instability""; ""H. Kazhdan's decomposition""; ""I. Decompositions for GL(2)""; ""J. Decomposition for Sp(2)""; ""Part II. Main comparison""; ""A. Strategy""; ""B. Twisted orbital integrals of type (I)""; ""C. Orbital integrals of type (I)""; ""D. Comparison in stable case (I), E/F unramified""; ""E. Comparison in stable case (I), E/F ramified""
""F. Endoscopy for H = GS[sub(p)](2), type (I)""""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Twisted endoscopic group of type I.F.3, E/F unramified""; ""G. Twisted orbital integrals of type (II)""; ""H. Orbital integrals of type (II)""; ""I. Comparison in case (II), E/E[sub(3)] ramified (e = 2)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""J. Comparison in case (II), E/E[sub(3)] unramified (e = 1)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.3""; ""K. Endoscopy for GS[sub(p)](2), type (II)""; ""L. Comparison in case (III)""
""Unstable twisted case. Twisted endoscopic group of type I.F.2""""M. Comparison in case (IV)""; ""Unstable twisted case. Twisted endoscopic group of type I.F.2""; ""Part III. Semi simple reduction""; ""A. Review""; ""B. Case of torus of type (I)""; ""C. Case of torus of type (II)""; ""D. Case of torus of type (III)""; ""E. Case of torus of type (IV)""; ""References""
Record Nr. UNINA-9910818967203321
Flicker Yuval Z (Yuval Zvi), <1955->  
Providence, Rhode Island : , : American Mathematical Society, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui