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Positivity in T-equivariant K-theory of flag varieties associated to Kac-Moody groups


Speaker: Shravan Kumar, UNC Chapel Hill
Location: 2112 MSB
Start time: Tue, May 14 2013, 3:10PM

Let X=G/B be the full flag variety associated to a symmetrizable Kac-Moody group G. Let T be the maximal torus of G. The T-equivariant K-theory of X has a certain natural basis defined as the dual of the structure sheaves of the Schubert varieties. We show that under this basis, the structure constants are polynomials with nonnegative coefficients.