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Rings and Modules Seminar
~ Abstracts ~

R. Padmanabhan
padman(at)cc(dot)umanitoba(dot)ca

Department of Mathematics
University of Manitoba

Tuesday, March 20, 2012

Group laws induced by conics
Abstract:

Every irreducible conic admits a group law - very similar to group laws on elliptic curves. In this talk, we explore some of the properties of these groups and classify them according to the conics from which they are constructed. Then we compare these group laws with those arising from non-singular cubic curves. Ovals being very close to conics, it is natural to ask whether ovals admit a natural group law. We show some examples of algebraic ovals having group laws very similar to that of conics. It is an open problem for general ovals.


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