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Harald Helfgott: The ternary Goldbach conjecture

Tid: On 2015-12-02 kl 13.15

Plats: Rum 3721

Medverkande: Harald Helfgott (Göttingen/CNRS)

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The ternary Goldbach conjecture (1742) asserts that every odd number greater than 5 can be written as the sum of three prime numbers. Following the pioneering work of Hardy and Littlewood, Vinogradov proved (1937) that every odd number larger than a constant C satisfies the conjecture. In the years since then, there has been a succession of results reducing C, but only to levels much too high for a verification by  computer up to C to be possible (C>10^1300).  (Works by Ramare and Tao solved the corresponding problems for six and five prime numbers instead of three.) My work (to appear in Ann. of Math. Studies) proves the conjecture. We will go over the main ideas in the proof.