Mathematics Colloquia and Seminars

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In 1984 Stanley defined an interesting class of symmetric functions now called the Stanley symmetric functions. These have recently been generalized to affine Stanley symmetric functions and to type C affine Stanley symmetric functions. These classes of symmetric functions can be seen as models for the cohomology of the affine Grassmannian in types A and C, respectively. I'll define all of the above, give some properties and describe how one might go about generalizing to other types.