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Topology/Geometry Seminar
Thursday, February 24, 2005
5:10-6:10pm,
122 Pond Lab (UP)
Jeff Raven
Penn State University
Some stuff about p-adic groups
Abstract: A lot of representation theory for non-compact reductive Lie groups focuses on the interaction between the group and its parabolic subgroups. These ideas carry over to the study of reductive p-adic groups, but in this case the peculiarities of the p-adics provide us with a second interesting family of "parahoric" subgroups, and one can get a good bit of mileage by playing these two families off one another. In particular the parahoric subgroups yield a very nice construction of the universal proper G-space. In my talk I'll try to explain some of this, focusing on the example of SL(2).
