Andrew Wiles - The Abel Prize interview 2016

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Publicado 2017-05-11
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:
www.ams.org/journals/notices/201703/rnoti-p197.pdf

Andrew Wiles is interviewed by the two mathematicians Martin Raussen og Christian Skau. Produced by UniMedia.

Todos los comentarios (21)
  • @DouglasHPlumb
    He is really one of the best examples for all of us in terms of the sheer value of determination.
  • Brilliant mind. Simple, humble and amazing. A privilege to watch this interview.
  • @NihilistGhost
    Beautiful faces are everywhere but beautiful mind are hard to find.
  • @hwe001
    A wonderful personality, extreme persistence, very humble, a man of the 1st class human being.
  • I got to see the real Andrew Wiles. Not people talking about him or him giving a talk.
  • I know this was five years ago but to me is still academically relevant as ever. I just want to say congratulations to Mr Andrew Wiles. Your achievements truly show your passionate love and dedication for both physics and overall mathematics, especially in solving numerous challenging problems. I have nothing to say accept that I think your prize is well deserved, well done! :)
  • @flateric67
    Didn't understand ANYTHING but fascinating to watch a genius at work...
  • @tensevo
    Inspiring interview. Hard problems are hard, precisely because we are not even sure we can ever solve them.
  • @jamesmaxwell007
    What a likeable, pleasant, and humble man! I wish him lots of happiness in his future life.
  • @teddy4820
    I have no clue what these brilliant minds are saying, but it is pleasantly beautiful to behold this intercourse of knowledge
  • @ritul89
    truly an inspiration! that is for sure!
  • @philipchief4406
    few men can live along with history, without fading. only the GOATS! Professor Andrew is surely among them.
  • Fantastic interview ! Kudos to the interviewers. Mr. Wiles is such a great man.