The April 15, 2014 O.M.N.I. Talk: Marco Peloso presents

Boundary behavior of biholomorphic
mappings in one and several variables

Abstract: In this talk we illustrate the basic theorems and ideas concerning the regularity of biholomorphic mappings between domains in complex space. The techniques are substantially different passing from one to several variables. We will try to connect this question to several other topics in analysis and geometry, such as partial differential equations and function spaces on domains and boundary invariants for (smooth) domains.