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Analytic pro-p groups / J. D. Dixon ... [et al.]
| Analytic pro-p groups / J. D. Dixon ... [et al.] |
| Autore | Dixon, John D. |
| Edizione | [2nd ed., rev. and enl. /] |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 1999 |
| Descrizione fisica | xviii, 368 p. ; 24 cm. |
| Disciplina | 512.2 |
| Altri autori (Persone) |
Du Sautoy, Marcus P. F.
Mann, A. Segal, Daniel |
| Collana | Cambridge studies in advanced mathematics ; 61 |
| Soggetto topico |
Nilpotent groups
p-adic groups |
| ISBN | 0521650119 |
| Classificazione |
AMS 20D15
AMS 20E18 AMS 20G30 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003671259707536 |
Dixon, John D.
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| Cambridge ; New York : Cambridge University Press, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples / / Clifton L.R. Cunningham, Andrew Fiori, Ahmed Moussaoui, James Mracek, Bin Xu
| Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples / / Clifton L.R. Cunningham, Andrew Fiori, Ahmed Moussaoui, James Mracek, Bin Xu |
| Autore | Cunningham Clifton <1966-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (232 pages) |
| Disciplina |
512/.22
512.22 |
| Altri autori (Persone) |
FioriAndrew
MoussaouiAhmed |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
p-adic groups
Representations of groups Sheaf theory Number theory Number theory -- Discontinuous groups and automorphic forms -- Representation-theoretic methods; automorphic representations over local and global fields Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over local fields Partial differential equations -- General topics -- Microlocal methods; methods of sheaf theory and homological algebra in PDE Several complex variables and analytic spaces -- Singularities -- Deformations of singularities; vanishing cycles |
| ISBN |
9781470470197
1470470195 |
| Classificazione | 11F7022E5035A2732S30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Acknowledgments -- Chapter 1. Introduction -- 1.1. Motivation -- 1.2. Background -- 1.3. Main results -- 1.4. Conjecture -- 1.5. Examples -- 1.6. Relation to other work -- 1.7. Disclaimer -- Part 1. Arthur packets and microlocal vanishing cycles -- Chapter 2. Overview -- Chapter 3. Arthur packets and pure rational forms -- 3.1. Local Langlands group -- 3.2. L-groups -- 3.3. Semisimple, elliptic and hyperbolic elements in L-groups -- 3.4. Langlands parameters -- 3.5. Arthur parameters -- 3.6. Langlands parameters of Arthur type -- 3.7. Pure rational forms -- 3.8. Langlands packets for pure rational forms -- 3.9. Arthur packets for quasisplit symplectic or special orthogonal groups -- 3.10. Arthur packets for inner rational forms -- 3.11. Pure Arthur packets -- 3.12. Virtual representations of pure rational forms -- Chapter 4. Equivariant perverse sheaves on parameter varieties -- 4.1. Infinitesimal parameters -- 4.2. Vogan varieties -- 4.3. Parameter varieties -- 4.4. Equivariant perverse sheaves -- 4.5. Equivariant perverse sheaves on parameter varieties -- 4.6. Langlands component groups as equivariant fundamental groups -- Chapter 5. Reduction to unramified hyperbolic parameters -- 5.1. Unramification -- 5.2. Elliptic and hyperbolic parts of the image of Frobenius -- 5.3. Construction of the unramified parameter -- 5.4. Construction of the cocharacter -- 5.5. Proof of Theorem 5.1 -- 5.6. Further properties of Vogan varieties -- Chapter 6. Arthur parameters and the conormal bundle -- 6.1. Regular conormal vectors -- 6.2. Cotangent space to the Vogan variety -- 6.3. Conormal bundle to the Vogan variety -- 6.4. Orbit duality -- 6.5. Strongly regular conormal vectors -- 6.6. From Arthur parameters to strongly regular conormal vectors -- 6.7. Arthur component groups as equivariant fundamental groups.
6.8. Proof of Proposition 6.1 -- 6.9. Equivariant Local systems -- Chapter 7. Microlocal vanishing cycles of perverse sheaves -- 7.1. Background on vanishing cycles -- 7.2. Calculating vanishing cycles -- 7.3. Brylinski's functor Ev -- 7.4. Stalks -- 7.5. Support -- 7.6. Open orbit -- 7.7. Purity and rank on the open orbit -- 7.8. Perversity -- 7.9. Restriction to generic elements -- 7.10. Normalization of Ev -- 7.11. Remarks on stratified Morse theory and microlocalization -- Chapter 8. Arthur packets and ABV-packets -- 8.1. ABV-packets -- 8.2. Virtual representations attached to ABV-packets -- 8.3. Conjecture on Arthur packets -- 8.4. A basis for stable invariant distributions -- Part 2. Examples -- Chapter 9. Overview -- Chapter 10. Template for the examples -- 10.1. Arthur packets -- 10.2. Vanishing cycles of perverse sheaves -- 10.3. ABV-packets -- 10.4. Endoscopy and equivariant restriction of perverse sheaves -- Chapter 11. SL(2) 4-packet of quadratic unipotent representations -- 11.1. Arthur packets -- 11.2. Vanishing cycles of perverse sheaves -- 11.3. ABV-packets -- 11.4. Endoscopy and equivariant restriction of perverse sheaves -- Chapter 12. SO(3) unipotent representations, regular parameter -- 12.1. Arthur packets -- 12.2. Vanishing cycles of perverse sheaves -- 12.3. ABV-packets -- 12.4. Endoscopy and equivariant restriction of perverse sheaves -- Chapter 13. PGL(4) shallow representations -- 13.1. Arthur packets -- 13.2. Vanishing cycles of perverse sheaves -- 13.3. ABV-packets -- 13.4. Endoscopy and equivariant restriction of perverse sheaves -- Chapter 14. SO(5) unipotent representations, regular parameter -- 14.1. Arthur packets -- 14.2. Vanishing cycles of perverse sheaves -- 14.3. ABV-packets -- 14.4. Endoscopy and equivariant restriction of perverse sheaves -- Chapter 15. SO(5) unipotent representations, singular parameter. 15.1. Arthur packets -- 15.2. Vanishing cycles of perverse sheaves -- 15.3. ABV-packets -- 15.4. Endoscopy and equivariant restriction of perverse sheaves -- Chapter 16. SO(7) unipotent representations, singular parameter -- 16.1. Arthur packets -- 16.2. Vanishing cycles of perverse sheaves -- 16.3. ABV-packets -- 16.4. Endoscopy and equivariant restriction of perverse sheaves -- 16.5. Tables for the SO(7) example -- Bibliography -- Index -- Back Cover. |
| Record Nr. | UNINA-9910962220603321 |
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Cunningham Clifton <1966->
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic analysis on reductive p-adic groups / / Harish-Chandra ; notes by G. van Dijk
| Harmonic analysis on reductive p-adic groups / / Harish-Chandra ; notes by G. van Dijk |
| Autore | Harish-Chandra Bhartendu |
| Edizione | [1st ed. 1970.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1970] |
| Descrizione fisica | 1 online resource (VI, 130 p.) |
| Disciplina | 515.2433 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
p-adic groups
Harmonic analysis Fourier analysis |
| ISBN | 3-540-36372-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Existence of characters for the discrete series -- Existence of characters in the general case -- Supercusp forms and supercuspidal representations -- The space A(G, ?) -- The behavior of the characters of the supercuspidal representations on the regular set -- The mapping "Ff" (char ?=0) -- The local summability of (char ?=0) -- The local summability of the characters of the supercuspidal representations (char ?=0). |
| Record Nr. | UNISA-996466862903316 |
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Harish-Chandra Bhartendu
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| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1970] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Harmonic analysis on reductive p-adic groups Harish-Chandra ; notes by G. van Dijk
| Harmonic analysis on reductive p-adic groups Harish-Chandra ; notes by G. van Dijk |
| Autore | Harish-Chandra |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1970 |
| Descrizione fisica | iv, 125 p. ; 26 cm |
| Disciplina | 515.785 |
| Altri autori (Persone) | Dijk, Gerrit : van |
| Collana | Lecture notes in mathematics, 0075-8434 ; 162 |
| Soggetto topico |
Harmonic analysis
p-adic groups |
| Classificazione | AMS 43-02 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000975499707536 |
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Harish-Chandra
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| Berlin ; New York : Springer-Verlag, 1970 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors
| Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
p-adic groups Harmonic analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8222-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Participants""; ""Toward a Mackey formula for compact restriction of character sheaves""; ""Supercuspidal characters of SL2 over a p-adic field""; ""1. Introduction""; ""2. Field extensions""; ""3. Tori""; ""4. A principal-value integral""; ""5. The building and filtrations""; ""6. Haar measure""; ""7. Duality, Fourier transforms, and orbital integrals""; ""8. Unrefined minimal K-types""; ""9. Representations of depth zero""; ""10. Representations of positive depth""; ""11. Parametrization of supercuspidal representations""
""12. Inducing representations""""13. Murnaghan�Kirillov theory""; ""14. �Ordinary� supercuspidal characters""; ""15. �Exceptional� supercuspidal characters""; ""References""; ""Geometric structure in the representation theory of reductive p-adic groups II""; ""The construction of Hecke algebras associated to a Coxeter group""; ""1. The Hecke algebras of finite reductive groups""; ""2. Coxeter groups""; ""3. The Hecke algebra of a Coxeter group""; ""4. Generators and relations""; ""5. References""; ""Distinguished supercuspidal representations of SL2""; ""1. Introduction"" ""2. Elliptic tori""""3. Involutions of SL2""; ""4. Multiplicity constants""; ""5. Supercuspidal representations""; ""6. Distinguished toral supercuspidal representations""; ""7. Distinguished depth-zero supercuspidal representations""; ""Appendix A. The building and the Moy-Prasad groups""; ""References""; ""Twisted Levi sequences and explicit types on Sp4""; ""Regularity and distinction of supercuspidal representations""; ""Patterns in branching rules for irreducible representations of SL2(k), for k a p-adic field""; ""Parametrizing nilpotent orbits in p-adic symmetric spaces"" ""An integration formula of Shahidi""""Managing metaplectiphobia: Covering p-adic groups"" |
| Record Nr. | UNINA-9910480984603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors
| Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
p-adic groups Harmonic analysis |
| ISBN | 0-8218-8222-8 |
| Classificazione | 22E5011F7022E3520G2520C3320G4020G05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Toward a Mackey formula for compact restriction of character sheaves -- Supercuspidal characters of SL2 over a p-adic field -- 1. Introduction -- 2. Field extensions -- 3. Tori -- 4. A principal-value integral -- 5. The building and filtrations -- 6. Haar measure -- 7. Duality, Fourier transforms, and orbital integrals -- 8. Unrefined minimal K-types -- 9. Representations of depth zero -- 10. Representations of positive depth -- 11. Parametrization of supercuspidal representations -- 12. Inducing representations -- 13. Murnaghan-Kirillov theory -- 14. "Ordinary" supercuspidal characters -- 15. "Exceptional" supercuspidal characters -- References -- Geometric structure in the representation theory of reductive p-adic groups II -- The construction of Hecke algebras associated to a Coxeter group -- 1. The Hecke algebras of finite reductive groups -- 2. Coxeter groups -- 3. The Hecke algebra of a Coxeter group -- 4. Generators and relations -- 5. References -- Distinguished supercuspidal representations of SL2 -- 1. Introduction -- 2. Elliptic tori -- 3. Involutions of SL2 -- 4. Multiplicity constants -- 5. Supercuspidal representations -- 6. Distinguished toral supercuspidal representations -- 7. Distinguished depth-zero supercuspidal representations -- Appendix A. The building and the Moy-Prasad groups -- References -- Twisted Levi sequences and explicit types on Sp4 -- Regularity and distinction of supercuspidal representations -- Patterns in branching rules for irreducible representations of SL2(k), for k a p-adic field -- Parametrizing nilpotent orbits in p-adic symmetric spaces -- An integration formula of Shahidi -- Managing metaplectiphobia: Covering p-adic groups. |
| Record Nr. | UNINA-9910788635003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors
| Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA / / Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 512/.482 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of Lie groups
p-adic groups Harmonic analysis |
| ISBN | 0-8218-8222-8 |
| Classificazione | 22E5011F7022E3520G2520C3320G4020G05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- Toward a Mackey formula for compact restriction of character sheaves -- Supercuspidal characters of SL2 over a p-adic field -- 1. Introduction -- 2. Field extensions -- 3. Tori -- 4. A principal-value integral -- 5. The building and filtrations -- 6. Haar measure -- 7. Duality, Fourier transforms, and orbital integrals -- 8. Unrefined minimal K-types -- 9. Representations of depth zero -- 10. Representations of positive depth -- 11. Parametrization of supercuspidal representations -- 12. Inducing representations -- 13. Murnaghan-Kirillov theory -- 14. "Ordinary" supercuspidal characters -- 15. "Exceptional" supercuspidal characters -- References -- Geometric structure in the representation theory of reductive p-adic groups II -- The construction of Hecke algebras associated to a Coxeter group -- 1. The Hecke algebras of finite reductive groups -- 2. Coxeter groups -- 3. The Hecke algebra of a Coxeter group -- 4. Generators and relations -- 5. References -- Distinguished supercuspidal representations of SL2 -- 1. Introduction -- 2. Elliptic tori -- 3. Involutions of SL2 -- 4. Multiplicity constants -- 5. Supercuspidal representations -- 6. Distinguished toral supercuspidal representations -- 7. Distinguished depth-zero supercuspidal representations -- Appendix A. The building and the Moy-Prasad groups -- References -- Twisted Levi sequences and explicit types on Sp4 -- Regularity and distinction of supercuspidal representations -- Patterns in branching rules for irreducible representations of SL2(k), for k a p-adic field -- Parametrizing nilpotent orbits in p-adic symmetric spaces -- An integration formula of Shahidi -- Managing metaplectiphobia: Covering p-adic groups. |
| Record Nr. | UNINA-9910821760703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / / Bart Bories, Willem Veys
| Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / / Bart Bories, Willem Veys |
| Autore | Bories Bart <1980-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (146 pages) : illustrations |
| Disciplina | 515/.94 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
p-adic fields p-adic groups Functions, Zeta Monodromy groups Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2944-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480914503321 |
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Bories Bart <1980->
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| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / / Bart Bories, Willem Veys
| Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / / Bart Bories, Willem Veys |
| Autore | Bories Bart <1980-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (146 pages) : illustrations |
| Disciplina | 515/.94 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
p-adic fields p-adic groups Functions, Zeta Monodromy groups Geometry, Algebraic |
| ISBN | 1-4704-2944-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910796558103321 |
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Bories Bart <1980->
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| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / / Bart Bories, Willem Veys
| Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / / Bart Bories, Willem Veys |
| Autore | Bories Bart <1980-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (146 pages) : illustrations |
| Disciplina | 515/.94 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Singularities (Mathematics)
p-adic fields p-adic groups Functions, Zeta Monodromy groups Geometry, Algebraic |
| ISBN | 1-4704-2944-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910811382903321 |
|
Bories Bart <1980->
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| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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