Shuffle algebras, lattice paths and Macdonald functions

Sasha Garbali
University of Melbourne

In this talk I will discuss a computation of skew Macdonald functions as vertex model partition functions. The approach relies on a connection between Macdonald functions and the Feign—Odesskii shuffle algebra and a new construction of shuffle algebra elements in terms of vertex model partition functions.

Presentation (PDF File)

Back to Workshop IV: Vertex Models: Algebraic and Probabilistic Aspects of Universality