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18.782 Introduction to Arithmetic Geometry
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Not offered academic year 2021-2022Undergrad (Fall)
Prereq: 18.702
Units: 3-0-9
http://math.mit.edu/classes/18.782
Lecture: MWF12 (VIRTUAL)
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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.
D. Roe
No required or recommended textbooks