Jacopo Borga

Lattice Yang-Mills theories are important models in particle physics. They are defined on the d-dimensional lattice ℤd using a group of matrices of dimension N, and Wilson loop expectations are the fundamental observables of these theories. Recently...

What is the behavior of the longest increasing subsequence of a uniformly random permutation? Its length is of order 2n1/2 plus Tracy--Widom fluctuations of order n1/6. Its scaling limit is the directed geodesic of the directed landscape. This talk...