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Pierre Deligne - The Abel Prize interview 2013 4 года назад


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Pierre Deligne - The Abel Prize interview 2013

0:09 Plans for Abel Prize funds incl. to Higher School of Economics 3:26 Importance of awards, prizes 4:46 The value of the multi-faceted threads of the Abel Prize 5:10 Value of good high school teachers 5:27 Early mathematical life 6:39 Given Bourbaki's Set Theory to read as 14yo 8:41 Jacques Tits 9:20 Formal education 9:50 Mathematical experimentation at school 10:28 Value of geometry when learning esp. proof-making 12:14 Jacques Tits incl. story about an absence from class 13:10 Value of symmetry when proving 14:09 Jacques Tits 15:00 First mention of Grothendieck 15:40 Deligne's fields of study in laymen's terms: esp. Algebraic Geometry 21:47 Grothendieck: his kindness, asking "stupid" questions OK 25:10 Serre (comparisons with Grothendieck) 26:55 Weil Conjectures 30:45 Grothendieck's program as a hindrance to proving Weil's 3rd conjecture 32:27 G. filling the valley vs. D. building a suspension bridge 33:10 Reaction of Serre to Deligne's proof 33:51 Ideas for the proof (Lefschetz) 37:04 Liked proofs: mixed Hodge structures, using motives 39:12 Learning algebraic geometry harder (than other fields) 40:05 Langlands program 41:49 Ways of working; not much teaching, full-time researcher 42:18 Value of 1:1 teaching 43:11 Leaving IHES, moving to IAS; comparing institutions 45:30 Contact with Russian mathematics 46:12 Beautiful culture of Russian math. 46:56 State of Russian math. now 47:30 Stronger links between university and secondary education in Russia 49:17 Being first 50:00 Working style: big picture first, which tools 51:54 Guessing what is true, having pictures in mind 52:30 Thinking in pictures 54:19 The vallue of good conjectures or dreams valuable 55:39 Writing letters ("often a letter to myself") 58:09 Poincare moments? 59:06 Work style changed over time? imagination vs. technique 1:00:40 Significant work for the future for the profession 1:01:38 Better understanding of motives 1:02:09 Langlands program 1:02:20 Unexpected conjectures of physicists 1:04:00 Hodge Conjecture 1:04:44 Other interests: nature, must do some work, cycling 1:06:03 Building igloos 1:06:43 Story about making igloos as a child Read the full interview in Notices of the American Mathematical Society: https://www.ams.org/notices/201402/rn... The 2013 Abel Prize interview with Pierre Deligne Interviewed by mathematicians Martin Raussen og Christian Skau. Produced by UniMedia.

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