Hodge Theory and Unitary Representations of Reductive Lie Groups

Schmid, WilfriedVilonen, Kari2017-09-252011Schmid, Wilfried, and Kari Vilonen. 2011. Hodge Theory and Unitary Representations of Reductive Lie Groups. In Frontiers of Mathematical Sciences, ed. Binglin Gu, Shing-Tung Yau, Huai-Dong Cao, Shiu-Yuen Cheng, Lizhen Ji, Yat Sun Poon, and Jie Xiao, 397-420. Somerville, MA: International Press.9781571461230http://nrs.harvard.edu/urn-3:HUL.InstRepos:33946916We present an application of Hodge theory towards the study of irreducible unitary representations of reductive Lie groups. We describe a conjecture about such representations and discuss some progress towards its proof.en-USHodge Theory and Unitary Representations of Reductive Lie GroupsMonograph or Book2017-09-25