Symmetric functions and variations on tableaux

Thomas Lam

Dept. of Mathematics, Harvard University, Cambridge, USA.

Dept. of Mathematics, Harvard University, Cambridge, USA.

2008/09/09 Tue, 5:30PM-6:30PM

It is well known that the the central objects in the theory of symmetric functions, Schur functions, are generating functions of semistandard Young tableaux. We present a collection of generalizations of semistandard tableaux. The generating functions of these tableaux are symmetric functions occurring in the study of the (co)homology of the affine Grassmannian, and the K-(co)homology of the Grassmanian.

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