Title: Random Matrices and Logarithmically Correlated Fields
Speaker: Paul Bourgade
Speaker Info: New York University
Brief Description:
Special Note:
Abstract:
A connection between branching structures and characteristic polynomials of random matrices emerged in the past few years. We will illustrate this for two models of random matrices, corresponding to dimension 1 and 2 spectra: the Circular Unitary Ensemble and Ginibre random matrices. The discussed topics will include the second moment method, extrema, the Gaussian free field and Gaussian multiplicative chaos.Date: Friday, October 19, 2018