A New Compact Formula for the Symmetric Macdonald Polynomials via the ASEP

Explore a 53-minute lecture from the International Centre for Theoretical Sciences' program on discrete integrable systems, where Olya Mandelshtam presents a compact formula for symmetric Macdonald polynomials through ASEP analysis. Part of a comprehensive two-week program focusing on discrete integrable systems, difference equations, cluster algebras, and probabilistic models, this presentation contributes to the broader discussion of integrable systems' exact solvability and conservation properties. Learn about the intersection of statistical physics, combinatorics, representation theory, and probability theory while examining the algebraic structures underlying these systems. The lecture takes place within a program featuring mini-courses, problem sessions, and workshop components, designed for both junior and senior researchers interested in discrete integrable systems and related fields.