Non-commutative extensions of the MacMahon master theorem

The MacMahon master theorem is a classic theorem in enumerative combinatorics with many interesting applications. Recently, a q-right-quantum generalization was given by Garoufalidis-Le-Zeilberger. In this talk, we present a framework that not only gives a simple new proof of the classical result, but also generalizes the GLZ master theorem and gives some other extensions and applications.

Part of the talk is joint work with Igor Pak.