18.782 Introduction to Arithmetic Geometry
Exposes students to arithmetic geometry, motivated by the problem of finding rational points on curves. Includes an introduction to p-adic numbers and some fundamental results from number theory and algebraic geometry, such as the Hasse-Minkowski theorem and the Riemann-Roch theorem for curves. Additional topics may include Mordell's theorem, the Weil conjectures, and Jacobian varieties.
This class has 18.702 as a prerequisite.
18.782 will not be offered this semester. It will be available in the Fall semester, and will be instructed by D. Ranganathan.
Lecture occurs 9:30 AM to 11:00 AM on Tuesdays and Thursdays in 2-146.
This class counts for a total of 12 credits.
You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.782&btnG=Google+Search&inurl=https site.
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