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Principle of galois theory.

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Discrete Integrable Systems

We proposed a general Galois Theory of differential equations in char. 0 in 1996. The principle in this theory works also in different contexts. Namely (1) Difference equations in char. 0, (2) Differential equation in char. p > 0, (3) Difference equation in char. p > 0. General Galois Theory allows us to analyze group theoretically integrability of dynamical systems on algebraic varieties defined over a field of char. p > 0 as well as char. 0.

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

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