The Abel Prize Interview 2016 with Andrew Wiles
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’ favourite 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 summarising 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
Andrew Wiles is interviewed by the two mathematicians Martin Raussen og Christian Skau. Produced by UniMedia.
Видео The Abel Prize Interview 2016 with Andrew Wiles канала The Abel Prize
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’ favourite 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 summarising 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
Andrew Wiles is interviewed by the two mathematicians Martin Raussen og Christian Skau. Produced by UniMedia.
Видео The Abel Prize Interview 2016 with Andrew Wiles канала The Abel Prize
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
The Bridges to Fermat's Last Theorem - NumberphileThe Abel Prize Interview 2015 with Louis NirenbergBeauty Is Suffering [Part 1 - The Mathematician]Live interview with Andrew WilesThe Extraordinary Theorems of John Nash - with Cédric VillaniOutliers: Why Some People Succeed and Some Don'te (Euler's Number) - NumberphileThe Abel Prize Interview 2018 with Robert LanglandsThe Abel Prize Interview 2003 with Jean-Pierre SerreAndrew Wiles talks to Hannah FryThe Fields Medal (with Cédric Villani) - NumberphileBarry Mazur "A Lecture on Primes and the Riemann Hypothesis" [2014]What is the Birch and Swinnerton-Dyer Conjecture? - Manjul Bhargava [2016]2015 Math Panel with Donaldson, Kontsevich, Lurie, Tao, Taylor, MilnerInterview at Cirm: Terence TAOThe Abel Prize Interview 2011 with John MilnorAndrew Wiles: Fermat's Last theorem: abelian and non-abelian approachesThe Key to the Riemann Hypothesis - NumberphileSir Andrew Wiles - The 2016 Abel Prize LaureateEuler's and Fermat's last theorems, the Simpsons and CDC6600