15:00 – Sergey Naboko (St.Petersburg)
On the spectral analysis of unbounded Jacobi operators with a few gaps in the essential spectrum
Abstract:
Two methods for construction of examples of unbounded selfadjoint Jacobi operators with a few gaps (bounded and unbounded) in the essential spectra to be discussed. The relation of the second one to the Last-Simon approach for the essential spectra calculation is one of the talk goals.
16:30 – Maurice Duits (KTH, Stockholm)
The Gaussian free field and anisotropic growth
Abstract:
We start by introducing the Gaussian free field in the context of fluctuations of random surfaces that arise in random matrix theory. We then discuss a stochastic evolution on a system of interlacing particles on the square lattice, that falls in the anisotropic KPZ class. For large time, a deterministic shape appears that describes the limiting distribution of the particles. We will focus on the global fluctuations around this limit shape. As we shall see, even in situations where the limit shape is no longer smooth, these fluctuations are typically characterized by the Gaussian free field.