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Conference on the Cohomology of Arithmetic Groups on the occasion of Joachim Schwermer's 66th birthday

JS66 2016: Cohomology of Arithmetic Groups pp 35–50Cite as

Eisenstein Cohomology and Automorphic L-Functions

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 245))

Abstract

During the past ten years of the most inspiring and very fruitful collaboration with Joachim Schwermer, we have carefully studied the non-vanishing conditions for certain summands in the decomposition along the cuspidal support of the (square-integrable) Eisenstein cohomology of a reductive group over a totally real number field. These conditions form a subtle combination of geometric conditions, arising from cohomological considerations, and arithmetic conditions, arising from the analytic properties of Eisenstein series and given in terms of automorphic L-functions. This paper is a survey of the most important results of our long-lasting collaboration.

To Joachim Schwermer, with gratitude and admiration, for the occasion of his 66th birthday

Author’s work has been supported by Croatian Science Foundation under the project 9364 and by University of Rijeka research grant 13.14.1.2.02.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Rijeka, Radmile Matejčić 2, 51000, Rijeka, Croatia

    Neven Grbac

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  1. Neven Grbac
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Correspondence to Neven Grbac .

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Editors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, USA

    James W. Cogdell

  2. Mathematical Institute, University of Bonn, Bonn, Germany

    Günter Harder

  3. Department of Mathematics, University of Toronto, Toronto, Canada

    Stephen Kudla

  4. Department of Mathematics, Purdue University, West Lafayette, USA

    Freydoon Shahidi

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Grbac, N. (2018). Eisenstein Cohomology and Automorphic L-Functions. In: Cogdell, J., Harder, G., Kudla, S., Shahidi, F. (eds) Cohomology of Arithmetic Groups. JS66 2016. Springer Proceedings in Mathematics & Statistics, vol 245. Springer, Cham. https://doi.org/10.1007/978-3-319-95549-0_2

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