Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change

Jayce Getz / Mark Goresky

68,57 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2014
ISBN:
9783034807951
68,57 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
Sobre IBD

In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces.

Artículos relacionados

  • ZETA FUNCTIONS OF REDUCTIVE GROUPS AND THEIR ZEROS
    LIN WENG / WENG LIN
    This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology t...
  • The Norm Residue Theorem in Motivic Cohomology
    Charles A. Weibel / Christian Haesemeyer
    This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited...
    Disponible

    114,75 €

  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
    Disponible

    108,21 €

  • TOPOLOGY - HAWAII (P/H)
    K H DOVERMANN
    The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990. These cover recent results in algebraic topology, algebraic transformation groups, real algebraic geometry, low-dimensional topology, and Nielsen Fixed Point Theory. ...
  • Computational Aspects of Modular Forms and Galois Representations
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan’s tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, excep...
    Disponible

    129,39 €

Otros libros del autor

  • Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
    Jayce Getz / Mark Goresky
    In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface. They then computed the Fourier coefficients of these forms in terms of period integrals and L-functions. In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitra...