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)
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.