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The Kolchin Seminar in Differential Algebra

Hunter College - Room HW706

Saturday November 15th 2003

Lourdes Juan
Texas Tech University
A generic Approach to the Inverse Differential Galois Problem, Part I
2:00 - 3:00PM

Abstract:

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Alexander B. Levin
Catholic University of America
Finitely Generated Difference Field Extensions
3:30 - 4:30PM

Abstract: In 1956 R. Cohn introduced a new invariant of a finitely generated extension of an ordinary difference field. He called it the limit degree of the extension. This invariant, that does not have analogs in differential algebra, appears to be a helpful tool in the study of difference field extensions. In particular, using the properties of limit degree, R. Cohn has proved that a subextension of a finitely generated difference field extension is finitely generated. In 1984 P. Evanovich proved a similar result for partial difference fields using a generalization of the concept of limit degree. In this talk we shall discuss properties of the limit degree and present a few new results in this area. In conclusion we are going to give a short proof of the Evanovich's result. 

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Lourdes Juan
Texas Tech University
A generic Approach to the Inverse Differential Galois Problem, Part II
5:00 - 6:00PM

Abstract:

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Coffee and tea will be served beginning at 1:30 PM
Room HW706

Click here for directions to Hunter College and location of room

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