Abstract

Partitions functions and the geometric RSK correspondence

Ivan Corwin
Columbia University

I will describe two results based on the geometric lifting of the RSK correspondence (gRSK). The first says that partition functions for ensembles of directed paths are invariant under gRSK while the second say that the geometric version of the Q-tableaux which arises under applying gRSK to an array of inverse-gamma random variables has the structure of a discrete Gibbs field (or line ensemble / stochastic interface).