Title    name KAIST Math Colloquium (First Semester,2011)     Title Modular curves and their applications to elliptic curves   Speaker Kim, Changheon (Hanyang University)   Date 2011-05-06   Host   Place KAIST   File     Abstract : Modular curves as moduli spaces of elliptic curves with some additional structures provide an important tool for studying arithmetic of elliptic curves. In this talk we will explain how rational points of modular curves can be applied to the problem of determining the torsion subgroups and ranks of elliptic curves over number fields.

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