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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|