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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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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