Formulas in the Schubert calculus

Arun Ram

Princeton University

April 23,
refreshments at 3:45pm


In joint work with H. Pittie we have found a Pieri-Chevalley type formula for the K-theory of (generalized) flag varieties (i.e. Grothedieck polynomials). The formula generalizes the formula of Fulton and Lascoux, in particular, it generalizes the left and right key of a column strict tableaux. I will present our new formula, show how we were led to it with the affine Hecke algebra, demonstrate what it says about the combinatorics of Schubert polynomials, and explain how it is related to representation theory.

Speaker's Contact Info: rama(at-sign)

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)

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