# Macdonald processes I

 Non-equilibrium Dynamics and Random Matrices Topic: Macdonald processes I Speaker: Alexei Borodin Affiliation: Massachusetts Institute of Technology Date: Tuesday, October 8 Time/Room: 2:00pm - 3:00pm/S-101 Video Link: https://video.ias.edu/nedrm/2013/1008-AlexeiBorodin

Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic problems. Examples include dimer models, general beta random matrix ensembles, and various members of the $(2+1)d$ anisotropic KPZ and $(1+1)d$ KPZ universality classes, such as growing stepped surfaces, $q$-TASEP, $q$-PushASEP, and directed polymers in random media. No prior knowledge of the subject will be assumed.