Holmstrom Eisenstein cohomology

Eisenstein cohomology

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Eisenstein cohomology

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Eisenstein cohomology

RT (Groups and representation theory)?, AAG (Arithmetic algebraic geometry)?

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Eisenstein cohomology

http://mathoverflow.net/questions/76371/parabolic-eisenstein-decomposition-of-cohomology-of-modular-curve

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Eisenstein cohomology

arXiv:1103.0851 Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions from arXiv Front: math.AG by Guenter Harder, A. Raghuram This is an announcement of results on rank-one Eisenstein cohomology of GL(N), with N > 1 an odd integer, and algebraicity theorems for ratios of successive critical values of certain Rankin-Selberg L-functions for GL(n) x GL(n’) when n is even and n’ is odd.

arXiv:1208.1747 Weight zero Eisenstein cohomology of Shimura varieties via Berkovich spaces from arXiv Front: math.NT by Michael Harris This brief article gives an alternative interpretation, based on a theorem of Berkovich, of the Eisenstein classes in the cohomology of Shimura varieties, used in forthcoming work of the author with K. W. Lan, R. Taylor, and J. Thorne.

[arXiv:1003.2326] Automorphic Forms, Cohomology and CAP Representations. The Case $GL_2$ over a definite quaternion algebra from arXiv Front: math.NT by Harald Grobner In this paper we fully describe the cuspidal and the Eisenstein cohomology of the group $G=GL_2$ over a definite quaternion algebra $D/\Q$. Functoriality is used to show the existence of residual and cuspidal automorphic forms, having cohomology in degree $1$. The latter ones turn out to be CAP-representations, though $G$ satisfies Strong Multiplicity One. A non-vanishing result on intertwining operators of induced representations will serve as a starting point for further investigations concerning rationality of critical $L$-values.

nLab page on Eisenstein cohomology