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A joinings classification and a special case of Raghunathan’s conjecture in positive characteristic (with an appendix by Kevin Wortman)

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Abstract

We prove the classification of joinings for maximal horospherical subgroups acting on homogeneous spaces without any restriction on the characteristic. Using the linearization technique, we deduce a special case of Raghunathan’s orbit closure conjecture. In the appendix, quasi-isometries of higher rank lattices in semisimple algebraic groups over fields of positive characteristic are characterized.

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Authors and Affiliations

  1. Mathematics Department, The Ohio State University, 231 W. 18th Avenue, Columbus, Ohio, 43210, USA

    Manfred Einsiedler

  2. Mathematics Department, Yale University, 10 Hillhouse Ave., New Haven, CT, 06511, USA

    Amir Mohammadi

Authors
  1. Manfred Einsiedler
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  2. Amir Mohammadi
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The author was partially supported by NSF DMS-0802587.

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Einsiedler, M., Mohammadi, A. A joinings classification and a special case of Raghunathan’s conjecture in positive characteristic (with an appendix by Kevin Wortman). JAMA 116, 299–334 (2012). https://doi.org/10.1007/s11854-012-0008-4

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  • DOI: https://doi.org/10.1007/s11854-012-0008-4

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