mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathsf {G}_{\\mathbb {Q}_p}$$\\end{document}is either unramified or residually split, we prove the generalisation of Mantovan's formula for thel-adic cohomology of the associated Shimura variety...
In this talk, I will explain how the method originally developed by Ihara, Langlands and Kottwitz to compute the cohomology of a Shimura variety (use the Grothendieck-Lefschetz fixed point formula in positive characteristic to calculate the trace on the cohomology of a power of Frobenius at a go...
mNσand harmonic forms of type (k1, …, kp; l1, …, lq)A vanishing theorem for automorphic formsThe dimen... Y Matsushima,G Shimura - Collected Papers Of Y Matsushima 被引量: 141发表: 0年 Vanishing of odd dimensional intersection cohomology II For a variety where a connected linear ...
Shimura varietyperiod invariants.Let G' ? G be an inclusion of reductive groups whose real points have a non-trivial discrete series. Combining ergodic methods of Burger- Sarnak and the author with a positivity argument due to Li and the classifi- cation of minimal K-types of discrete series...
Restriction of the holomorphic cohomology of a Shimura variety.Tyakal VenkataramanaL Clozel
Ghost classes in the cohomology of the Shimura variety associated todoi:10.1090/proc/13788Matias Victor Moya Giusti
It states that the Shimura variety must be compact and it is a requirement that G is anisotropic modulo as its center. When the Galois action is applied, complications arise, so restriction to tempered representation is needed for the simplicity of understanding the problem....
decidability of combination of logical systemsSome semi-simple L -functions which are associated with the cohomology of a quaternionic Shimura variety are compared with semi-simple automorphic L -functions. Assuming a certain purity condition this yields a similar result for the usual L -functions....
In application, to any mod l l system of Hecke eigenvalues appearing in the \\bar{\\mathbb F}_l \\bar{\\mathbb F}_l -cohomology of a Shimura's variety of Kottwitz-Harris-Taylor type, we associate a \\bar{\\mathbb F}_l \\bar{\\mathbb F}_l -Galois representation which Frobenius...
Gee. p-Adic Hodge-theoretic properties of etale cohomol- ogy with mod p coefficients, and the cohomology of Shimura varieties. arXiv: 1203.4963, 2012.Matthew Emerton and Toby Gee. p-adic Hodge-theoretic properties of ´etale cohomology with mod p coefficients, and the cohomology of Shimura ...