Skip to content

DIS

Seminar

Galois theories for difference equations II. (Tutorial)

Singer, M (North Carolina State)
Tuesday 12 May 2009, 09:30-10:30

Satellite

Abstract

The aim of these two talks is to show how group theory can be used to derive properties of solutions of difference equations. The tools to do this are provided by Galois theories, which allow us to link groups to difference equations. I will give an elementary introduction to two such theories and show how they can be used to describe algebraic properties of sequences satisfying recurrence relations as well as differential properties of functions satisfying functional equations. For example, I will show how one can reprove and generalize Hoelder's result that the Gamma function satisfies no algebraic differential equation.

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧