{"product_id":"9783034807951","title":"Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change","description":"\u003ch3\u003eProgress in Mathematics\u003c\/h3\u003e\u003ch1\u003eHilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change\u003c\/h1\u003e\u003ch3\u003eJayce Getz | Mark Goresky\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Number Theory\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eIn 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.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e13 April 2014\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Basel\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eBirkhäuser\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783034807951\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e258\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":46541457752204,"sku":"9783034807951","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783034807951.jpg?v=1785258804","url":"https:\/\/lateknightbooks.com\/products\/9783034807951","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}