College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Spring 2007
Monday,
February 26, 2007
2:30pm, Science 2-065
2:30pm, Science 2-065
Elizabeth Mann
MITLanglands duality for real groups, via the affine Grassmannian
Abstract:
The Langlands dual of a complex group arises naturally out of the
geometry of its affine Grassmannian. I'll begin by briefly reviewing this
classical (geometric) Satake isomorphism, as well as its extension by Kazhdan
and Lusztig to the affine Hecke algebra. I'll then describe the analogous
statements & geometric picture for real groups. While a real group does not
have a Langlands dual, a marvelous result of Vogan describes a duality on
the irreducible admissible representations of real groups; and it is this duality
which arises in our geometric picture.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 4:00 pm.
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