|Non-equilibrium Dynamics and Random Matrices|
|Topic:||Macdonald processes I|
|Affiliation:||Massachusetts Institute of Technology|
|Date:||Tuesday, October 8|
|Time/Room:||2:00pm - 3:00pm/S-101|
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.