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CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar

Thursday, March 2, 2017 - 3:00pm

Eugene Gorsky

UC Davis


University of Pennsylvania


Maulik and Okounkov defined a family of K-theoretic stable bases for the Hilbert scheme of points on the plane. These bases depend on a single parameter and interpolate between the (modified) Schur and Macdonald polynomials. We give a conjectural explicit formula for the transition matrix between bases for different parameter values in terms of certain combinatorial operators on the q-Fock space introduced by Leclerc and Thibon. Joint work with Andrei Negut.