Mahler Lecture Tour 2018

Date & Time: Friday 9 November: 14:00–15:00
Venue: Room 222, Building #7 (Parnell Building), Univ. Queensland
Speaker: Ivan Corwin (Columbia Univ., USA)

Hosted by the Department of Mathematics and Physics, University of Queensland.

Title: Random permutations, partitions and PDEs

Abstract

We start with a seemingly innocuous question — what do large random permutations look like?
Focusing on the structure of their increasing subsequences we encounter some remarkable mathematics related to symmetric functions (e.g. Schur and Macdonald), random matrices, and stochastic PDEs.
No prior knowledge of any of this will be assumed.

Biography

Ivan Corwin is currently a Professor of Mathematics at Columbia University. His thesis included (in joint work with Amir and Quastel) the exact solution to the Kardar–Parisi–Zhang stochastic PDE. Subsequently, with Borodin, he introduced and developed the theory of Macdonald processes. Along with other collaborators, he has developed the area of Integrable Probability, including the study of stochastic vertex models and the Markov duality approach. He has also worked on discrete approximation theory to stochastic PDEs.

Corwin received his Ph.D. from the Courant Institute in 2011 and has since held positions at Microsoft Research, MIT, Institute Henri Poincaré, and now Columbia. He was a Clay Research Fellow and is presently a Packard Fellow, and a Fellow of the Institute of Mathematical Statistics. He was the recipient of the Alexanderson Award, Rollo Davidson Prize, Young Scientist Prize of the IUPAP, and gave an invited lecture at the 2014 ICM.

Contact

Tony Roberts (apr@maths.uq.edu.au)

supported by AMSI.