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MATHEMATICAL COLLOQUIUM: From longest increasing subsequences to Whittaker functions and random polymers

Neil O' Connell
Institution: 
University College, Dublin
Schedule: 
Tuesday, May 18, 2021 - 16:00 to 17:00
Location: 
Online
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 longest increasing subsequences in random permutations and related percolation problems. In this talk I will give some background on this and then explain how a birational version of the RSK mapping provides a similar framework for the study of Whittaker functions and random polymers. Based on joint works with Ivan Corwin, Timo Seppalainen and Nikos Zygouras.
 
Short Bio: Neil O'Connel is a professor at University College, Dublin. He has obtained important results in integrable probability and random matrices. He was awarded the Ito prize in 2002 and the Rollo Davidson Prize in 2005. He is the recipient of an ERC advanced grant: "Integrable random structure".

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