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Peter Lax - The Abel Prize Interview 2005

The Abel Prize 4,612 5 years ago
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0:15 from Hungary to Los Alamos 3:00 shock limits: the role of collaboration 4:22 interaction of solitons: discovered by numerical means 10:35 genesis of Fourier integral operators 12:00 Ralph Phillips, scattering theory 14:45 Riemann Hypothesis 15:40 beauty vs. ugliness in math. 16:15 doesn't get angry easily 17:32 G.H. Hardy, his Apology, Aston's response 18:42 pure math. as a branch of applied math. (Joe Keller) 20:00 pure math. having applied uses inevitable? 22:13 math. has a mysterious unity 22:40 high-speed computing 25:12 emergence of new algorithms in linear algebra 26:08 high-speed due to computer hardware and to improved algorithms 26:30 takes mathematicians to create clever algorithms 27:20 use of theory of non-linear PDEs in oil exploration 27:43 inverse problems 28:44 mathematics education in Hungary 30:00 problem-solving as the Royal road to stimulate talent 30:27 need to branch out also 30:39 Pólya 31:20 tradition in Hungary to find the simplest proofs, Erdős' Book 32:00 Hahn-Banach theorem is out of The Book 32:52 culture of excellence in Hungarian math. 33:34 book by John Lukacs 34:46 Influence of Julius König 36:02 Fejér (https://en.wikipedia.org/wiki/Lip%C3%B3t_Fej%C3%A9r) 37:18 Ulam 37:56 Atomic bombs, war in the Pacific 39:33 Innoculation effect of atomic bombs 39:59 Ulam on how blackboard scribbles changing world history 40:18 Ulam as an ideas man 41:15 The Courant Institute 41:45 Courant's personality, suspicion of specialization 44:14 Collaborating, Vera John-Steiner book 45:20 Personal work style 45:45 Phillips thought Lax lazy 46:15 Sudden inspiration 46:50 Stories from Schottke, Hilbert ("my very bad memory") 48:05 Has good memory 48:15 Important decisions for large organizations 49:00 Director of The Courant Institute 49:35 Blocked formation of department of Informatics 50:30 Successful hires 50:55 Failures: standard of hiring (in computer science) 51:52 National Science Board, policy-making as nodding yes 52:30 The Lax Panel, supercomputers 54:25 Paraphrasing Emerson: nothing can resist the force of an idea, 10 years overdue 54:50 Teaching calculus 55:20 Calculus book enormously unsuccessful despite good ideas 56:00 Dreams of rewriting book 56:10 The calculus reform movement, doubts 56:28 The books are too thick 57:00 Uniform continuity vs. continuity at a point 57:32 Math. community enormously conservative 57:45 Applications as subsidiary, should be featured 58:20 Looking for good collaborator 58:40 Work in the pipeline 59:20 What are the real numbers (not Dedekind's so much) 1:00:00 Other interests (Hungarian, English poetry; tennis; reading) 1:01:15 Writing obituaries, haikus Interview in written. Notices of the American Mathematical Society: https://www.ams.org/notices/200602/comm-lax.pdf The Abel Prize Interview 2005 with Peter D. Lax. Interviewed by mathematicians Martin Raussen og Christian Skau. Produced by UniMedia.

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