Formulas in the Schubert calculus
Arun Ram
Princeton University
April 23,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

In joint work with H. Pittie we have found a PieriChevalley
type formula for the Ktheory 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(atsign)math.princeton.edu
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