EVENT DETAILS AND ABSTRACT

Title: Asymptotics of the Bergman-Szego kernel and applications to random zeros
Speaker: Bernard Schiffman
Speaker Info: Johns Hopkins
Brief Description:
Special Note:
Abstract:

The properties of random polynomials on C^n and random sections of a holomorphic line bundle are determined by the Szego kernel. In particular the distribution of zeros and of simultaneous zeros reflects the underlying geometry of the random ensembles. We shall discuss the asymptotics of the distribution of zeros as the degree of the polynomials or line bundles increases. Our methods include the asymptotics of the Bergman-Szego kernel and the almost orthogonality of coherent states centered at lattice points.