Elliptic Curves the theorems of Mordell and Nagell-Lutz
Lecturer: Víctor Vela Cuena
Date: 13-02-2019
Time: 17:00
Place: Room 209 (2nd floor, Faculty of Mathematics UCM)
Abstract: An elliptic curve is an irreducible smooth cubic curve. At first glance, such a simple mathematical object should not harbor any mystery, but nothing could be further from the truth; the theory of elliptic curves is extremely extensive, and in it, geometry, algebra and number theory are involved in rather unsuspected ways.
In this presentation, a brief exposition of the main problems and results of this theory is offered: namely, the Mordell and Nagell-Lutz theorems.
Bibliography
- Joseph H. Silverman, John T. Tate, Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics, 2ns edn. (Springer, Switzerland, 2015)