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Andrew Wiles The Abel Prize interview 2016
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=cWKAzX5U85Q
0:35 The history behind Wiles’ proof of Fermat’s last theorem • 1:08 An historical account of Fermat’s last theorem by Dundas • 2:40 Wiles takes us through the first attempts to solve the theorem • 5:33 Kummer’s new number systems • 8:30 Lamé, Kummer and Fermat’s theorem • 9:10 Wiles tried to solve the theorem as a teenager • 10:05 André Weil and number theory • 11:09 When did Wiles’ interest for mathematics start? • 13:36 Wiles in high school • 14:35 Algebra and number theory were Wiles’ favorite topics to study • 15:30 Cambridge years with John Coates • 17:18 The elliptic curves would lead to the solution of the theorem, but he did not know it yet • 17:58 Elliptic curves in number theory • 20:54 Birch, Swinnerton-Dyer, Tate-Shafarevich, Selmer • 22:05 Coates proposed studying the Birch and Swinnerton-Dyer conjunctures • 23:34 When will we solve the Birch and Swinnerton-Dyer conjunctures? • 24:40 The Selmer group • 29:03 The Modularity Conjecture • 33:14 Taniyama • 35:17 There can’t be a solution to the Fermat problem • 35:25 Dundas summarizing the next steps • 37:51 Working with a time-consuming puzzle and having to stop • 40:50 Describing the search for proof as a metaphor • 43:35 Iwasawa theory • 45:25 Parallels to Abel’s work • 50:16 Work style • 55:05 Problems in mathematics and how to work with them • 57:00 On intuition • 58:00 On not getting too close to mathematics • Interview in written. Notices of the American Mathematical Society: • https://www.ams.org/journals/notices/... • Andrew Wiles is interviewed by the two mathematicians Martin Raussen og Christian Skau. Produced by UniMedia.
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