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Picard-Vessiot extensions with specified Galois group

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Discrete Integrable Systems

In joint work with Ted Chinburg and Andy Magid we address the problem of recognizing a Picard-Vessiot extension E of a differential field F from weaker information than the structure of E as a differential field. Our work includes a differential counterpart of the normal basis theorem in polynomial Galois theory and the construction of an invariant that depends on the differential Galois group of the extension. I will present the main results and some examples.

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

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