2. Laurent Berger (ENS Lyon)

时间: 2018-04-17 (Tuesday), 10h45-11h45

地点: 南楼818

Title: Iterated extensions and p-adic dynamical systems

Abstract: Let K be a field and let P be a polynomial. What can we say about the field generated by the roots of P and of all its iterates? I will discuss some questions motivated by this general problem when K is a p-adic field. Along the way, we'll see Coleman power series, p-adic dynamical systems and a little bit of p-adic Hodge theory.