Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Geometric RSK, Whittaker functions and random polymers

Neil O'Connell (University of Warwick)

Abstract: The Robinson-Schensted-Knuth (RSK) correspondence is a combinatorial bijection 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' (or `de-tropicalized')  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.