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 be offered this semester (Fall 2018). It is instructed by A. Shankar.
Lecture occurs 2:30 PM to 4:00 PM on Tuesdays and Thursdays in 2-151.
This class counts for a total of 12 credits.
You can find more information at the MIT + 18.782 - Google Search site.
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