Title: On Pseudo Algebraically Closed Field Extensions

Abstract:
PAC extensions are a generalization of the classical notion of PAC 
fields. This notion was invented by Jarden and Razon in connection
with Hilbert tenth problem.
In this talk we will describe recent applications of PAC extension to 
several areas (such as quadratic forms and Dirichlet's theorem for 
polynomial rings). We will also discuss the Galois structure of PAC 
extensions and in particular restrictions on these extensions.

The talk is based on the PhD thesis of the speaker.