Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics, 298, Band 298) - Hardcover

Buch 116 von 170: Progress in Mathematics

Getz, Jayce; Goresky, Mark

 
9783034803502: Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics, 298, Band 298)
Hardcover
ISBN 10: 3034803508 ISBN 13: 9783034803502
Verlag: Birkhäuser, 2012

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
3034803508
ISBN 13 
9783034803502
Einband
Gebundene Ausgabe
Anzahl der Seiten
272
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9783034807951: Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (Progress in Mathematics, Band 298)

Vorgestellte Ausgabe

ISBN 10:  3034807953 ISBN 13:  9783034807951
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Softcover