For more than a century Schur-Weyl duality has proven to be a powerful and popular tool in representation theory. It relates the representations of GL(n) and the symmetric group on r letters and allows you to pass information between these two Type A groups. In a classic paper in the early 90's Beilinson, Lusztig, and MacPherson gave us a geometric way to construct and think about Schur-Weyl duality. In joint work with Bao, Li, and Wang we worked out the analogue in types B and C. In particular, we naturally realize the hyperoctahedral Schur algebra studied by Green. My goal is to give an accessible overview of the construction suitable for a general audience.
Geometric Schur-Weyl Duality Sponsored by the Meyer Fund
Oct. 14, 2014 11pm (Math 220)
Noncomm Geometry
Joseph Migler Introduction to K-theory and K-homology (continued).
Geometric Schur-Weyl Duality