Title: Equivariant quasisymmetry
| Speaker | Nantel Bergeron |
| Affiliation | York University |
| Location | MC 5479 |
Abstract: We introduce equivariant quasisymmetry, a version of quasisymmetry for polynomials in two sets of variables. Using this definition we define double fundamental polynomials and double forest polynomials, a quasisymmetric generalizations of the theory of double Schur and double Schubert polynomials, where the subset of noncrossing permutations play the role of $S_n$.This combinatorics is governed by the quasisymmetric flag variety, a new geometric construction which plays the role for equivariant quasisymmetry what the usual flag variety plays in the classical story.
In this talk, I will focus on the combinatorial aspect first, and with the remaining time discuss the geometrical implications.
There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm,