Cantitate/Preț
Produs
Total produse
Vezi coșul
Stable Klingen Vectors and Paramodular Newforms de Jennifer Johnson-Leung

Stable Klingen Vectors and Paramodular Newforms: Lecture Notes in Mathematics, cartea 2342

Autor Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
en Limba Engleză Paperback – 27 dec 2023
This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses this family to obtain new relations between the Hecke eigenvalues and Fourier coefficients of paramodular newforms, revealing a fundamental dichotomy for paramodular representations. Among other important results, it includes a complete description of the vectors fixed by these congruence subgroups in all irreducible representations of GSp(4) over a nonarchimedean local field.

Siegel paramodular forms have connections with the theory of automorphic representations and the Langlands program, Galois representations, the arithmetic of abelian surfaces, and algorithmic number theory. Providing a useful standard source on the subject, the book will be of interest to graduate students and researchers working in the above fields.
Citește tot Restrânge

Din seria Lecture Notes in Mathematics

  • 17% Model Order Reduction and Applications: Cetraro, Italy 2021
    Preț: 36042 lei
  • The Essence of Numbers
    Preț: 11790 lei
  • 20% Stochastic Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13-18, 2004
    Preț: 38029 lei
  • Non-Newtonian Fluid Mechanics and Complex Flows: Levico Terme, Italy 2016
    Preț: 13165 lei
  • Convex Geometry: Cetraro, Italy 2021
    Preț: 44682 lei
  • Computational Synthetic Geometry
    Preț: 17568 lei
  • Open Quantum Systems I: The Hamiltonian Approach
    Preț: 47763 lei
  • 17% The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type
    Preț: 36188 lei
  • The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise
    Preț: 25237 lei
  • Conformal Symmetry Breaking Operators for Differential Forms on Spheres
    Preț: 34394 lei
  • Metrical and Dynamical Aspects in Complex Analysis
    Preț: 13888 lei
  • Geometrical Themes Inspired by the N-body Problem
    Preț: 15260 lei
  • Open Conformal Systems and Perturbations of Transfer Operators
    Preț: 11667 lei
  • Generic Coarse Geometry of Leaves
    Preț: 10277 lei
  • Symmetry Breaking for Representations of Rank One Orthogonal Groups II
    Preț: 11902 lei
  • 17% Arakelov Geometry and Diophantine Applications
    Preț: 36552 lei
  • Equivariant Cohomology of Configuration Spaces Mod 2: The State of the Art
    Preț: 39675 lei
  • 17% Generalized B*-Algebras and Applications
    Preț: 36212 lei
  • Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization
    Preț: 39611 lei
  • The Cohomology of Commutative Semigroups: An Overview
    Preț: 35778 lei
  • 17% Decomposition of Jacobians by Prym Varieties
    Preț: 36231 lei
  • Mathematics Going Forward: Collected Mathematical Brushstrokes
    Preț: 40380 lei
  • 17% p-adic Banach Space Representations: With Applications to Principal Series
    Preț: 36170 lei
  • Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2020-2022
    Preț: 48561 lei
  • An Invitation to Coarse Groups
    Preț: 44401 lei
  • Tulane University Ring and Operator Theory Year, 1970-1971: Vol. 2: Lectures on Operator Algebras
    Preț: 39590 lei
  • Critical Point Theory and Submanifold Geometry
    Preț: 47367 lei
  • Ecole d'Ete de Probabilites de Saint Flour XIV, 1984
    Preț: 41194 lei
  • Buildings and the Geometry of Diagrams: Lectures given at the 3rd 1984 Session of the Centro Inter- nazionale Matematico Estivo (C.I.M.E.) held at Como, Italy, August 26 - September 4, 1984
    Preț: 47367 lei
  • Combinatorial Optimization: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Como, Italy, August 25 - September 2, 1986
    Preț: 32116 lei
  • Complex Analysis and Algebraic Geometry: Proceedings of a Conference, Held in Göttingen, June 25 - July 2, 1985
    Preț: 31650 lei
  • Algebraic Topology. Göttingen 1984: Proceedings of a Conference held in Göttingen, November 9-15, 1984
    Preț: 34035 lei
  • Numerical Methods in Fluid Dynamics: Lectures given at the 3rd 1983 Session of the Centro Internationale Matematico Estivo (CIME) held at Como, Italy, July 7-15, 1983
    Preț: 32190 lei
  • Séminaire de Probabilités XX 1984/85: Proceedings
    Preț: 39674 lei
  • Schrödinger Operators, Como 1984: Lectures given at the 2nd 1984 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) held at Como, Italy, Aug.26- Sept.4, 1984
    Preț: 31894 lei
  • Harmonic Mappings and Minimal Immersion: Lectures given at the 1st 1984 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) held at Montecatini, Italy, June 24-July 3, 1984
    Preț: 40929 lei
  • Logic and Computer Science: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 20-28, 1988
    Preț: 26812 lei
  • Transformation Groups and Algebraic K-Theory
    Preț: 41251 lei
  • Algebraic Topology and Transformation Groups: Proceedings of a Conference held in Göttingen, FRG, August 23-29, 1987
    Preț: 41003 lei
  • Topology and Geometry - Rohlin Seminar
    Preț: 49060 lei
  • Complete Intersections: Lectures Given at the 1st 1983 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) Held at Acireale (Catania), Italy, June 13-21, 1983
    Preț: 41003 lei
  • Mathematical Economics: Lectures given at the 2nd 1986 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 25 - July 3, 1986
    Preț: 26700 lei
  • Ecole d'Ete de Probabilites de Saint-Flour XII, 1982
    Preț: 32566 lei
  • Ecole d'Ete de Probabilites de Saint-Flour XIII, 1983
    Preț: 41025 lei
  • Ecole d'Ete de Probabilites de Saint-Flour XV-XVII, 1985-87
    Preț: 48329 lei
  • Semi-Classical Analysis for the Schrödinger Operator and Applications
    Preț: 26495 lei
  • Séminaire de Probabilités XVIII 1982/83: Proceedings
    Preț: 41585 lei
  • An Index and Other Useful Information
    Preț: 36551 lei
  • Seminaire de Probabilites XIX 1983/84: Proceedings
    Preț: 41495 lei
  • Kinetic Theories and the Boltzmann Equation: Lectures given at the 1st 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Montecatini, Italy, June 10-18, 1981
    Preț: 31666 lei

Preț: 47870 lei

Nou

Puncte Express: 718
Preț estimativ în valută:
9162€ • 9549$ • 7627£

Carte tipărită la comandă

Livrare economică 06-20 ianuarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783031451768
ISBN-10: 3031451767
Pagini: 362
Ilustrații: XVII, 362 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.54 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

- Introduction. - Part I Local Theory. - 2. Background. - 3. Stable Klingen Vectors. - 4. Some Induced Representations. - 5. Dimensions. - 6. Hecke Eigenvalues and Minimal Levels. - 7. The Paramodular Subspace. - 8. Further Results About Generic Representations. - 9. Iwahori-Spherical Representations. - Part II Siegel Modular Forms. - 10. Background on Siegel Modular Forms. - 11. Operators on Siegel Modular Forms. - 12. Hecke Eigenvalues and Fourier Coefficients.

Notă biografică

Jennifer Johnson-Leung is a professor in the Department of Mathematics and Statistical Science at the University of Idaho. She received her PhD from the California Institute of Technology in 2005. Her research focuses on Siegel modular forms, Iwasawa theory, and special values of L-functions.

Brooks Roberts is a member of the Department of Mathematics and Statistical Science at the University of Idaho. He received his PhD from the University of Chicago in 1992. He is a co-author of the book Local Newforms for GSp(4) (Springer). His research focuses on Siegel modular forms, representation theory, and the theta correspondence.

Ralf Schmidt is a professor in the Department of Mathematics at the University of North Texas. He received his PhD from Hamburg University in 1998. He is a co-author of the books Transfer of Siegel Cusp Forms of Degree 2 (Memoirs of the AMS), LocalNewforms for GSp(4) (Springer), and Elements of the Representation Theory of the Jacobi Group (Birkhäuser). His research focuses on Siegel modular forms and representation theory.

Textul de pe ultima copertă

This book describes a novel approach to the study of Siegel modular forms of degree two with paramodular level. It introduces the family of stable Klingen congruence subgroups of GSp(4) and uses this family to obtain new relations between the Hecke eigenvalues and Fourier coefficients of paramodular newforms, revealing a fundamental dichotomy for paramodular representations. Among other important results, it includes a complete description of the vectors fixed by these congruence subgroups in all irreducible representations of GSp(4) over a nonarchimedean local field.

Siegel paramodular forms have connections with the theory of automorphic representations and the Langlands program, Galois representations, the arithmetic of abelian surfaces, and algorithmic number theory. Providing a useful standard source on the subject, the book will be of interest to graduate students and researchers working in the above fields.

Caracteristici

Introduces an important new family of congruence subgroups of GSp(4) Reveals a new dichotomy for paramodular representations Connects Fourier coefficients and Hecke eigenvalues of paramodular newforms