Riddhipratim Basu

Beta-Ensembles, Eigenvalue Rigidity and Last Passage Percolation

Connection between beta ensembles and exactly solvable models of last passage percolation is classical. I shall recall some of the standard distributional equalities and explain how one can obtain tail estimates for last passage times using random matrix techniques. We shall also discuss how these estimates, combined with certain rigidity properties of eigenvalues, can be used to answer questions about geometry of geodesics in integrable models of last passage percolation.