Skip to content

DIS

Seminar

Arithmetic theory of q-difference equations

di Vizio, L (CNRS, IMJ, Paris)
Thursday 14 May 2009, 11:00-12:00

Satellite

Abstract

We propose a global theory of q-difference equations over a finite extension of the field of rational functions k(q). In the first part of the talk we will give a definition of a q-difference analogue of the theory of G-functions and establish a regularity result for the associated operators, obtained as a combination of a q-analogue of the Andre'-Chudnovsky Theorem and Katz Theorem. In the second part of the paper, we combine the results pf the forst part with some formal q-analog Fourier transformations, obtaining a statement on the irrationality of special values of the formal q-Laplace transformation of a G_q-function.

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 ∧