John Nash - The Abel Prize interview 2015 скачать в хорошем качестве

John Nash - The Abel Prize interview 2015

0:00 Introduction, reaction to the award 01:37 Talent, encouragement, early years 03:12 E T Bell's Men of Mathematics 03:20 Princeton, atmosphere, competition 04:15 Game theory, Nash (the game), games 06:06 Equilibria in games, Fixed Point theorems 07:20 The Nobel, Beautiful Mind (film) 08:10 Influence of Nash equilibrium, 1951 thesis 09:15 Found the topic himself, 09:47 Work habits, rarely attended lectures, N grade 11:05 Learning second hand stifles creativity 11:45 Contacting von Neumann, Einstein, Fixed Point theorems (Brouwer, Kakutani) 14:25 Einstein, photons being red-shifted, dark matter/energy, idea for a new type of space-time 17:09 John Milnor, seeking famous open problems 18:44 at MIT, 1951-59, Gromov on Nash's originality 20:30 M. Artin on Nash's paper on real algebraic manifolds, influence of spacetime, distribution of stars 23:18 Riemmanian manifolds as submanifolds of a Euclidean space 24:55 Ingenuity of methods (Gromov, Conway) 25:26 Motive for the work on embeddings, Nash embedding theorem 27:26 PDEs "proper", Nirenberg, di Giorgi 29;21 Hamilton, Perelman, entropy (in parabolic case) 30:07 di Giorgi getting there first 30:45 Fields Medal speculation 31:10 "but this is not mathematics" 31:36 Riemann Hypothesis, mental exhaustion, "problems can attack back" 33:00 Selberg, finite measure of zeroes on the line 34:30 Different approach to math., inspiration 35:30 Classical music, Bach 36:13 Thinking "normally","it wouldn't be good to think like a good student", "most mathematical theses are routine" Interview in written. Notices of the American Mathematical Society: https://www.ams.org/notices/200204/fe... Interviewed by mathematicians Martin Raussen og Christian Skau. Produced by UniMedia