On the Eisenstein cohomology of arithmetic groups

By Jian-Shu Li, J. Schwermer. 2004

121 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fd599329c3d85e774e7904fe3cf531be4032c2e7

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Citations in the corpus

Automorphic forms and rational homology 3--spheres (2005, unknown): “OK // and the latter as H3= B \ .1Cmn/ : There is a well known correspondence between the cohomology of the 3–manifolds constructed above and automorphic forms (see for example Taylor [40, Section 4] or Harder [17]).”
Modularity lifting beyond the Taylor–Wiles method (2012, background): “This follows from the work of [64]; an explicit reference is Sect.”
Nearly ordinary Galois deformations over arbitrary number fields (2007, background): “If π is cuspidal, then a result of Harder [12, § III, pp. 59–75] implies that π has parallel weight, and thus the expected Hodge–Tate weights of ρλ at v | N(λ) are of the form [0, k − 1], for some k ∈ Z that does not depend on v.”
On special zeros of p-adic L-functions of Hilbert modular forms (2012, background): “On the first factor it is of automorphic type and we have ([16], 3.”
Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality (2014, background): “ the set of arithmetic weights with regular algebraic part for which his a small slope. For these weights, Proposition 3.2.5 together with known results on (g,K∞)-cohomology (see e.g. Sections 4-5 of [LS04]) implies that Hi(Kp,Dλ)≤h,λ∈ Rh vanishes for i6= d G = 1 2dimG(R)/K∞. The Tor spectral sequen”
Galois representations modulo p and cohomology of Hilbert modular varieties (2004, background): “[19] G. Harder, Eisenstein cohomology of arithmetic groups.”
WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, unknown): “MICHAEL HARRIS Proof. As all Eisenstein series E(f,Λ) attached to a K′-ﬁnite section f∈ IndG ′(A K) B′(AK) [˜τ] are holomorphic at Λ = 0, ΨΠ′ is injective by Schwermer [44], Satz 4.11 or Li-Schwermer [33], Thm. 3.3. As a consequence of our discussion in Sect. 3.1, we obtain an injection of G′(Af)-mo”