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.