Refined dual Grothendieck polynomials from 3 perspectives
Dual Grothendieck polynomials are the symmetric functions that are dual (under the Hall inner product, where the famous Schur polynomials give an orthonormal basis) to the symmetric Grothendieck polynomials, which are used to describe the K-theory ring of the Grassmannian. We can introduce extra parameters to obtain the refined dual Grothendieck polynomials. In this talk, we will translate the combinatorics of refined dual Grothendieck polynomials into the language of integrable lattice models. We then use lattice model techniques to derive a number of identities. We conclude by relating refined dual Grothendieck polynomials to TASEP through the last-passage percolation random matrices.
Zoom link: https://stanford.zoom.us/j/91274693500?pwd=bmtHZnhTMG1HQ3pTOHYxUWJ2Z1ZjQT09
Zoom ID: 912 7469 3500
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