From a summer REU at the University of Minnesota, we constructed a solvable lattice model for the dual weak symmetric Grothendieck polynomials in hopes of using such a model to prove related properties of these polynomials, including Cauchy identities and branching rules. We also considered a similar lattice model construction for the weak symmetric Grothendieck polynomials in hopes of proving a Cauchy identity, concluding with a negative result. Moreover, we expand on previous work by giving boundary conditions for a proposed lattice model for the Littlewood Richardson coefficients of the dual weak symmetric Grothendieck polynomials, via an MS puzzle construction.

Meeting ID: 931 9296 4149 | Password: GAUSS

GAUSS will meet Tuesdays at 3:30-4:20 PM in Fall 2021.