Instructor: |
Nils Bruin nbruin@sfu.ca SC K 10507 (778) 782 3794 |
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Webpage: | http://www.cecm.sfu.ca/~nbruin/math894EC | ||||||||||||||||||||||||||||||||||||||||||||
Textbook: |
Silverman, Joseph H. The arithmetic of elliptic curves. Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1986. xii+400 pp. ISBN: 0-387-96203-4 |
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Prerequisites: | MATH 818, Algebraic curves. A basic knowledge of algebraic number theory is also very useful. | ||||||||||||||||||||||||||||||||||||||||||||
Meetings: | Thursday, 10:30 - 12:20, K9509 First meeting January 15 |
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Goal and format: |
The goal is that the participants learn about elliptic curves. As a specific goal,
we will prove
Theorem (Mordell-Weil). Let E be an elliptic curve over a number field K. Then the set E(K) of K-rational points forms a finitely generated abelian group. Each meeting, one of the participants will lecture on a part of the textbook. We will fix the assignment of topics and the lecture schedule on the first meeting, January 15. Lecturers, as a guide-line, should prepare a lecture of about an hour. Our time slot allows for overrun and discussion. |
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Grading: | Based on lectures and participation. |
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Lecture schedule: |
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