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.