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Picard-Vessiot extensions with specified Galois group

Juan, L (Texas Tech)
Wednesday 13 May 2009, 18:00-18:30



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.


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