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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Getz, Jayce; Goresky, Mark
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Description for Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
Hardback. This book contains basic material on intersection cohomology, modular cycles and automorphic forms from the classical and adelic points of view. Award winning monograph of the 2011 Ferran Sunyer i Balaguer Prize competition. Series: Progress in Mathematics. Num Pages: 258 pages, biography. BIC Classification: PBH; PBMW. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 20. Weight in Grams: 683.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
Springer Basel Switzerland
Number of pages
258
Condition
New
Series
Progress in Mathematics
Number of Pages
258
Place of Publication
Basel, Switzerland
ISBN
9783034803502
SKU
V9783034803502
Shipping Time
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Ref
99-15
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