Two Delta conjecture implications

Abstract: The famous shuffle theorem is a combinatorial formula for a Schur positive symmetric function, nabla(e_n). Since its formulation, a number of variations and generalisations of the shuffle formula have been proposed, many of which remain open problems today. In this talk we present some of these conjectures and discuss two logical implications between them we recently established (joined work with Alessandro Iraci). The relevant combinatorial objects are decorated labelled lattice paths.

combinatorics

Audience: researchers in the topic

York University Applied Algebra Seminar