|Universiteit Faculteit FNWI English version||30 mei 2008, e-mail|
Donderdag 12 juni 2008
AbstractMahler's theorem (See http://en.wikipedia.org/wiki/Mahler's_theorem ) is the dream of math students: a function from integers to integers is equal to the sum of its Newton series if and only if it is continuous. No need to bother about analytic functions and the like! The trick is that continuity refers to the p-adic metric.
In this lecture, we shall present an extension of Mahler's theorem to functions from words (from a free monoid) to integers, where the the profinite metric defined by p-groups (pro-p metric) replaces the p-adic metric.
All notions (except continuity) will be redefined in this lecture. No prerequities on p-adic analysis is needed to attend this lecture.