Skip to main content

Jang-Soo Kim: Jacobi--Trudi formula for dual stable Grothendieck polynomials

Time: Tue 2020-03-03 10.00 - 10.50

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan

Participating: Jang-Soo Kim, Sungkyunkwan University, Suwon

In 2007 Lam and Pylyavskyy found a combinatorial formula for the dual stable Grothendieck polynomials, which are the dual basis of the stable Grothendieck polynomials with respect to the Hall inner product. In 2016 Galashin, Grinberg, and Liu introduced refined dual stable Grothendieck polynomials by putting additional sequence of parameters in the combinatorial formula of Lam and Pylyavskyy. Grinberg conjectured a Jacobi--Trudi type formula for refined dual stable Grothendieck polynomials. In this talk we show this conjecture by using bijections of Lam and Pylyavskyy.