Introduction to Elliptic Curves and Modular Forms
This is a Reading Course for the Winter semester 2019-2020.
This is a Reading Course for the Winter semester 2019-2020.
The group meets every Wednesday from 3:30 to 5pm in Room 6B, starting October 23.
The group meets every Wednesday from 3:30 to 5pm in Room 6B, starting October 23.
An introductory meeting took place on Thursday, October 10 at 2pm.
An introductory meeting took place on Thursday, October 10 at 2pm.
Abstract:
Abstract:
The goal of the course is to give the students an idea of what an elliptic curve is, why such a geometric object is interesting in algebraic number theory, and, if time allows, to introduce some analytic objects called modular forms and their very unexpected relation to elliptic curves. These are the basic ingredients that come into Andrew Wiles and Richard Taylor's proof of Fermat's Last Theorem.
The goal of the course is to give the students an idea of what an elliptic curve is, why such a geometric object is interesting in algebraic number theory, and, if time allows, to introduce some analytic objects called modular forms and their very unexpected relation to elliptic curves. These are the basic ingredients that come into Andrew Wiles and Richard Taylor's proof of Fermat's Last Theorem.
References:
References:
Main reference: Neal I. Koblitz, Introduction to Elliptic Curves and Modular Forms, Graduate Texts in Mathematics 97, Springer-Verlag, 1993, available through a-z.lu
Main reference: Neal I. Koblitz, Introduction to Elliptic Curves and Modular Forms, Graduate Texts in Mathematics 97, Springer-Verlag, 1993, available through a-z.lu