{"product_id":"eisenstein-cohomology-for-gln-and-anantharam-raghuram-9780691197890","title":"Eisenstein Cohomology for Gln and the Special Values of Rankin-Selberg L-Functions: (Ams-203)","description":"\u003cp\u003eThis book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of the global cohomology in the cohomology of the Borel-Serre boundary is called Eisenstein cohomology, since at a transcendental level the cohomology classes may be described in terms of Eisenstein series and induced representations. However, because the groups are sheaf-theoretically defined, one can control their rationality and even integrality properties. A celebrated theorem by Langlands describes the constant term of an Eisenstein series in terms of automorphic L-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality properties of the special values of Rankin-Selberg L-functions for GL(n) x GL(m), where n + m = N. The authors carry through the entire program with an eye toward generalizations. \u003cp\u003e\u003c\/p\u003eThis book should be of interest to advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e G?ter Harder, Anantharam Raghuram\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 069119789X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691197890\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/03\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 240\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.75lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.60d","brand":"G?ter Harder","offers":[{"title":"Paperback","offer_id":43946959798527,"sku":"9780691197890","price":79.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_ef902aff-fbca-4a75-b0ac-427c2b9a3956.jpg?v=1681515911","url":"https:\/\/www.whiterainbookhouse.com\/products\/eisenstein-cohomology-for-gln-and-anantharam-raghuram-9780691197890","provider":"WR Book House","version":"1.0","type":"link"}