%0 Journal Article %T Some geometric facets of the Langlands correspondence for real groups %A Rahbar Virk %J Mathematics %D 2013 %I arXiv %R 10.1112/blms/bdu105 %X This note concerns geometric aspects of the local Langlands correspondence for real groups as extended from Langlands' original work by Adams-Barbasch-Vogan, and further (conjectural) formulations by W. Soergel. The main result concerns purity (in the sense of weights in Hodge theory) of equivariant extension groups between simple objects on the Adams-Barbasch-Vogan geometric parameter space (for trivial infinitesimal character). %U http://arxiv.org/abs/1312.7483v5