Modular curves and Serre's open image theorem

Abstract: Modular curves can be used to encode important arithmetic information concerning elliptic curves. These curves are defined as abstract moduli spaces and in practice it is useful to have explicit models. We will discuss a way of computing models that makes use of the arithmetic of Eisenstein series. Our application is towards a computational version of Serre’s open image theorem.

number theory

Audience: researchers in the topic

Heilbronn number theory seminar

Series comments: This is part of the University of Bristol's Heilbronn number theory seminar. If you wish to attend the talk (and are not a Bristolian), please register using this form or email us at bristolhnts@gmail.com with your name and affiliation (if any).

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