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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Arithmetic theory of q-difference equations

## Arithmetic theory of q-difference equationsAdd to your list(s) Download to your calendar using vCal - di Vizio, L (CNRS, IMJ, Paris)
- Thursday 14 May 2009, 11:00-12:00
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If you have a question about this talk, please contact Mustapha Amrani. Discrete Integrable Systems 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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