Moderate deviations and the space time geometry in integrable planar last passage percolation

VIENNA PROBABILITY SEMINAR

The connection between the geometry of geodesics and moderate deviation estimates in planar stochastic growth models like fist and last passage percolation is well-known. In this talk I shall discuss, with several examples, how deviation estimates with varying precisions can be used to answer various questions about geodesics and the large scale geometry of the underlying space-time landscape in the context of the exactly solvable model of exponential last passage percolation.