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Department of Mathematics
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Rings and Modules Seminar
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Department of Mathematics
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Rings and Modules Seminar
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R. Padmanabhan
Department of Mathematics
University of Manitoba
Thursday, September 25, 2003
Group Laws over Infinite Fields
(Report on the NSERC Summer Research Project of Roger Woodford)
| Abstract:
In this project, we find all rational group laws definable over infinite fields. Up to birational equivalence, there are only two such group laws and they are both linear. This is a special case of the well-known characterization of one-dimensional groups: they are addition, multiplication and the group law on an elliptic curves. |