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Topics in Combinatorial Representation Theory |
| March 17, 2008 to March 21, 2008 |
| Organized By: Sergey Fomin, Bernard Leclerc, Vic Reiner (Chair), Monica Vazirani |
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| Parent Programs: |
| Combinatorial Representation Theory |
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| Return to Workshop Description |
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k-Schur functions via multidegrees of Matrix Affine Schubert Varieties
Thursday March 20, 2008
11:00AM - 12:00PM
Speakers:
Mark Shimozono
Abstract:
The Lapointe-Lascoux-Morse k-Schur functions
are the Schubert basis of Bott's realization of the
homology of the affine Grassmannian of SL_n,
as proved by Thomas Lam.
I will describe a new construction of the k-Schur functions
that is analogous to the
Knutson-Miller realization of Schubert
polynomials as multidegrees of Schubert varieties
in the flag variety. This is ongoing work that
is my student Cory Brunson's thesis project.
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