Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Shields Pat

Tuesday 5
Eric Fusy
› 17:30 - 19:00 (1h30)
› SFU Harbour Center - Segal Centre Conference Rooms 1400 - 1410
A dual approach to structure constants for K-theory of Grassmannians
Huilan Li  1  , Jennifer Morse  2  , Pat Shields  2  
1 : School of Mathematical Sciences, Shandong Normal University, Shandong
2 : Department of Mathematics, Drexel University, Philadelphia, PA 19104, U.S.A

The problem of computing products of Schubert classes in the cohomology ring can be formulated as the
problem of expanding skew Schur polynomial into the basis of ordinary Schur polynomials. We reformulate the
problem of computing the structure constants of the Grothendieck ring of a Grassmannian variety with respect to its
basis of Schubert structure sheaves in a similar way; we address the problem of expanding the generating functions for
skew reverse-plane partitions into the basis of polynomials which are Hall-dual to stable Grothendieck polynomials.
From this point of view, we produce a chain of bijections leading to Buch's K-theoretic Littlewood-Richardson rule.

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