Neil O'Connell (University of Warwick / Trinity College Dublin)

Title: Geometric RSK, Whittaker functions and random polymers

Abstract: The Robinson-Schensted-Knuth correspondence is a combinatorial mapping which plays an important role in the theory of Young tableaux and provides a natural framework for the study of last passage percolation and longest increasing subsequence problems. In this talk I will explain how a 'geometric' version of the RSK mapping provides a similar framework for the study of Whittaker functions and random polymers, mainly based on recent joint works with Ivan Corwin, Timo Seppalainen and Nikos Zygouras.