Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change is popular PDF and ePub book, written by Jayce Getz in 2012-03-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change can be Read Online from any device for your convenience.
Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change Book PDF Summary
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.
Detail Book of Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change PDF
- Author : Jayce Getz
- Release : 28 March 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783034803519
- Genre : Mathematics
- Total Page : 264 pages
- Language : English
- PDF File Size : 9,5 Mb
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