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

作者：Einsiedler Manfred^*; Mohammadi Amir

来源：Journal d Analyse Mathematique, 2012, 116: 299-334.

DOI：10.1007/s11854-012-0008-4

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.

• 出版日期2012-1