September 29, 11:40
Room N-130
Speaker: Alexander Rashkovskii (University of Stavanger, Norway)
Title: Pluricomplex Green functions
Abstract: The standard notion of Green’s functions for linear differential operators cannot be used directly in multidimensional complex analysis. Instead, several different concepts were introduced by choosing specific fundamental solutions of the (highly non-linear) complex Monge-Ampère equation. I will present some of them and their relations to analytic functions, invariant metrics, toric geometry, and singularity theory.