Date: Friday, September 21, 2012
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Kronecker coefficients for one hook shape
Abstract: The Kronecker coefficient g_{\lambda \mu \nu} is the multiplicity of an irreducible S_nmodule M_\nu in the tensor product M_\lambda \otimes M_\mu. A fundamental open problem in algebraic combinatorics is to find a positive combinatorial formula for these coefficients. We give such a formula in the case that one of the partitions is a hook shape. Our main tool is Haiman's mixed insertion, which is a generalization of Schensted insertion to colored words.
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Speaker: Jonah Blasiak
Institution: UM
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