Fumiaki Suzuki : Poncelet’s theorem and the group law of an elliptic curve

Posted by Gregory Taylor , part of the Graduate Student Colloquium.

At

March 20, 2019, 5 p.m.

In

636 SEO

Abstract

Poncelet’s theorem is a beautiful result of the classical projective geometry: for conics C and D, if there is an n-gon inscribed in C and circumscribed around D, then there is such an n-gon having a given point of C as a vertex. An elliptic curve, on the other hand, is a one-dimensional Abelian variety, which is basic but important in algebraic geometry. The aim of this talk is to see how Poncelet’s theorem follows from the group law of an elliptic curve.