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Johan Frisk: The Sato-Tate conjecture

Time: Wed 2012-04-25 14.45 - 15.30

Location: Room 21, building 5, Kräftriket, Department of mathematics, Stockholm university

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This thesis describes the Sato-Tate conjecture on the number of points on an elliptic curve over a finite field. I will show how this result can be derived using heuristics and numerical experiments. Some theory of elliptic curves will be provided to give a context for the conjecture. Furthermore I will describe applications of some of the methods used in this thesis.