Slides
** Title: ** From random permutations and random matrices to random growth: an invitation to the fascinating mathematics of the KPZ universality class

##### **Speaker: ** Riddhipratim Basu (ICTS Bangalore)

##### **Date: **17 March 2023

**Time:** 3 – 5 pm (with a 15 minute break in between)

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**Venue: ** LH-1, Mathematics Department

From the longest increasing subsequence in a random permutation to the shortest distance in a randomly weighted two dimensional Euclidean lattice, a large class of planar random growth models are believed to exhibit shared large scale features of the so-called Kardar-Parisi-Zhang (KPZ) universality class. Over the last 25 years, intense mathematical activity has led to a lot of progress in the understanding of these models, and connections to several other topics such as algebraic combinatorics, random matrices and partial differential equations have been unearthed. I shall try to give an elementary introduction to this area, describe some of what is known as well as many questions that remain open.

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Last updated: 22 Jun 2024