Mathematics Department Seminar - Jonathan Lubin
- 10/24/2012 |
4:15 PM – 5:15 PM
Location: Searles Science Building, Room 217
Event Type: Seminar
"Elliptic Curves: A Corner of Mathematics That Became Central". ABSTRACT: The study of elliptic curves sits at the junction of Number Theory and Algebraic Geometry. The field was dormant for a time after an explosion of activity in the nineteenth century, but the Theorem of Mordell, in 1922, about the algebraic structure of the group of rational points of an elliptic curve, stimulated more research, which took flight from the 1960's on. The field provided an essential ingredient to the final proof of Fermat's "Last Theorem", and elliptic curves are being used in some of the most active areas of today's research, for instance they have furnished a tool for attempting to factor the immense composite numbers that are used for many public-key codes. The field has gotten so large and so active that in this talk, it will be possible only to give a taste of the ideas and methods that are encompassed.