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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 107–155Cite as

On Slope Subspaces of Cohomology of p-adic Verma Modules

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

Abstract

We determine bounds for the dimension of the slope subspaces of cohomology groups of arithmetic subgroups of semi simple algebraic groups \(\mathbf{G}\) with coefficients in p-adic Verma modules.

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Acknowledgements

I am grateful to the referee for pointing out errors and for helpful remarks. I am thankful for the invitation to participate in a conference in honor of Prof. Schwermer’s 66th birthday.

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Authors and Affiliations

  1. Institut fur Mathematik, Universitat Wien, Oskar-Morgenstern-Platz 1, 1090, Vienna, Austria

    J. Mahnkopf

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  1. J. Mahnkopf
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Correspondence to J. Mahnkopf .

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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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Mahnkopf, J. (2018). On Slope Subspaces of Cohomology of p-adic Verma Modules. 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_5

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