Watch a mathematics lecture exploring the fundamental concepts of elliptic curves and their rational points, delivered by MIT professor Bjorn Poonen at the CMSA/Tsinghua Math-Science Literature series. Delve into the historical significance of Mordell's 1922 theorem proving that the group of rational points on an elliptic curve is finitely generated. Examine these curves as the simplest varieties with both unexplained rational points and non-trivial group structure. Survey current knowledge and theoretical perspectives about the group of rational points on elliptic curves through detailed mathematical analysis and discussion.
Overview
Syllabus
Bjorn Poonen | Ranks of elliptic curves
Taught by
Harvard CMSA
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