Featured Speaker :  Lauren Williams (Harvard University)

Title :  The asymmetric simple exclusion process and Macdonald polynomials

Abstract : 

The asymmetric simple exclusion process (ASEP) is a model of particles hopping on a one-dimensional lattice, initially introduced as a model for translation in protein synthesis. On the other hand, Macdonald polynomials are a remarkable family of multivariate polynomials which generalize Schur polynomials and Hall-Littlewood polynomials. I'll explain how the study of the ASEP on a ring leads to new formulas for Macdonald polynomials (joint work with Corteel and Mandelshtam), as well as a new notion of quasisymmetric Macdonald polynomials (joint with Corteel-Haglund-Mandelshtam-Mason).

Organizers: Conference on Statistical Mechanics, Integrable Systems and Probability, http://mtikhonov.com/smisp/

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