Melanie Matchett Wood

Affiliation: Princeton University

Email: lanie@math.princeton.edu

Title Of Talk: Rings and ideals associated to binary forms

Abstract: We can associate rings and ideals to binary forms of degree n, generalizing Gauss composition and the Delone-Faddeev/Gan-Gross-Savin parametrization of cubic rings by binary cubic forms. We can say explicitly what rings and ideals are parametrized by binary n-ic forms for all n. There is also a space of forms that parametrizes all ideal classes of the rings associated to binary forms. Finally, we can do this work not just over the integers, but over an arbitrary base ring or scheme.

Last update made Mon Apr 27 08:34:01 EDT 2009.
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