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Apr 12, 2013 at 11:46 comment added Oliver Straser Yes, at least roughly: Soergel conjectures that the category of smooth admissible representations of a real reductive group $G$ can be described by the equivariant derived category of the so-called Adams-Barbasch-Vogan parameter space (equivariant with respect to some action of the Langlands-dual group of the complexification of $G$) Ok, this has nothing to do with geometric Langlands on first sight, but he also mentions that similar conjectures should hold in the $l$-adic case.
Apr 12, 2013 at 11:02 comment added S. Carnahan Could you tell us what the conjectures are?
Apr 12, 2013 at 7:42 history asked Oliver Straser CC BY-SA 3.0