portada Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (en Inglés)

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (en Inglés)

Formato

Libro Físico

Autor

Mark Goresky

Jayce Getz

Editorial

Birkhauser

Idioma

Inglés

N° páginas

258

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.5x1.8 cm

Peso

0.41 kg.

ISBN13

9783034807951

Categorías

Teoría de números
Geometría algebraica

Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (en Inglés)

Mark Goresky (Autor) · Jayce Getz (Autor) · Birkhauser · Tapa Blanda

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Reseña del libro "Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (en Inglés)"

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.