18.782 Introduction to Arithmetic Geometry

Class Info

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 2017). It is 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.

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