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The orbital counting problem for hyperconvex representations

The orbital counting problem for hyperconvex representations

We give a precise counting result on the symmetric space of a connected noncompact real-algebraic semisimple Lie group G, for a class of discrete subgroups of G that contains, for example, representations of a surface group on PSL(2,ā„¯)Ć—PSL(2,ā„¯), induced by choosing two points on the TeichmĆ¼ller space of the surface ā€¦