University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Galois theories for difference equations I. (Tutorial)

Galois theories for difference equations I. (Tutorial)

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani.

Discrete Integrable Systems

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity