Kurt Johansson: Two-time distribution in last-passage percolation

Abstract: I will discuss a new approach to computing the two-time distribution in last-passage percolation with geometric weights. This can be interpreted as the correlations of the height function at a spatial point at two different times in the equivalent interpretation as a discrete polynuclear growth model. I will also discuss the problem of multiple spatial points at the two times. The new approach is closer to standard random matrix theory (or determinantal point process) computations compared the one in my paper "Two time distribution in Brownian directed percolation", Comm. Math. Phys. 351 (2017).