In this talk we present a combinatorial description of the
analogue of affine Stanley symmetric functions for type C,
a subset of which provides a basis for the cohomology ring of
the affine flag variety. Lam introduced affine Stanley
symmetric functions for type A, which are dual to the k-Schur
functions of Lapointe, Lascoux and Morse. The combinatorics in
the type C case involves the notion of Zs. This also allows us
to derive a Pieri rule for homology classes.

This talk is based on joint work with Thomas Lam and Mark
Shimozono http://front.math.ucdavis.edu/0710.2720.

Lecture #12699

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