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Phone (617) 253-1000
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Infinite Dimensional Algebra Seminar

Friday, Feb 8, 2013 3:00p to 5:00p

Deligne categories
Abstract: I will give an introduction to the works of Deligne, who constructed extrapolations
of the tensor categories of representations of $S_n$ and $GL(n,C)$ (as well as $O(n,C)$ and $Sp(2n,C)$) to complex values of $n$. Then I will describe how to generalize this to $GL_n(F_q)$, real groups (i.e., Harish-Chandra modules),
Lie superalgebras, degenerate affine and double affine Hecke algebras, current algebras, Yangians, and other representation theoretical settings. Finally,
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Massachusetts Institute of Technology (MIT)
77 Massachusetts Ave.
Cambridge, MA 02139
(617) 253-1000
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