034 Paweł Wójcicki

(Warsaw University of Technology, Poland) // The aim of my talk is to recall the notion of the so called Szego kernel and provide some new biholomorphic invariant by means of it. In fact, it is defined on a similar way as the co called Skwarczyński distance by means of the Bergman kernel. The relationship between completeness in both cases will be examined. It turns out that the new biholomorphic invariant gives rise to some other new invariant, by means of which we can estimate the so called Bergman metric by means of the so called Szego metric. This is a joint work with Professor Steven Krantz (WUST, MO, USA)