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

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

2010-10-26

arxiv.org/abs/1010.5490v1

Mathematics

Dynamical Systems

31 pages

Scientific paper

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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