IMPORTANT NOTICE: On November 20, the lecture will take place between 16:00 and 18:00 in Room 119, Arnimallee 3. Both time and place are changed.This is an introductory course on elliptic curves. Elliptic curves play important roles in mathematics as well as they have found applications in cryptography. Our emphasis will be on the arithmetic aspect of the theory (i.e. over finite fields and number fields). One of our goals is the proof of the Mordell-Weil theorem on the finite generatedness of the group of rational points of an elliptic curve over a number field. As for prerequisites, we assume basic algebra and (general) topology, but we do not assume a prior knowledge of algebraic geometry. Some knowledge of algebraic number theory may be helpful but not essential.
Date and time: Lecture on Wednesday 14:00--16:00, Tutorial on Wednesday 12:00--14:00
Place: Lecture in A6/SR 031, Tutorial A3/SR 119
Tutorial: My intention is to have the participants ask questions and solve exercises on the board.
Language of instruction: English