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• W2993670137 abstract "algebraic geometry. He supervised more than fifty Ph.D. students, many of whom went on to do great things. Apart from that, Manin published not only in the philosophy of mathematics and physics but also in socio-linguistics and Jungian psychology, and he wrote a few collections of poems and literary reviews. This nonmathematical part of his works has now been preserved by the publication of his book Mathematics as Metaphor ; an English translation was published by the AMS, unfortunately leaving out the literary works. In a foreword to this book, Freeman Dyson identified Manin as the prototype of a “Bird”, a scientist possessing overview and acting as a painter of large landscapes, by contrast calling himself a “Frog”, more the sort of animal that digs around locally in the mud (thus downplaying his own tremendous contributions to science). From the current documentary, we pick up two related viewpoints. Don Zagier, one of several mathematicians who appear in the documentary, sees the work of Manin guided by the following principle: if one detects a similar structure in seemingly different areas, one should search for an actual mathematical structure that bridges these fields. In the movie, Anatoly Vershik describes Manin as a product of the Soviet system, in which many great minds that in freedom would choose The expression “Late Style” derives from Adorno’s 1937 essay on the Spatstil of Beethoven. The phrase was used as the title of a course at Columbia University and later of a posthumous book by Edward Said, who explained that “Late Style” refers to “the way in which the work of some great artists and writers acquires a new idiom towards the end of their lives.” Here one is viewing, however, “artistic lateness not [necessarily] as harmony and resolution, but as intransigence, difficulty, and unresolved contradiction.” With the subtitle “Looking Back on a Life in Mathematics”, it is also the chosen title for a documentary about Yuri Manin. Yuri Manin’s (1937–) variegated works span much of diophantine geometry (including a proof of the Mordell conjecture over function fields, and pioneering the use of modular symbols, p-adic automorphic forms, and noncommutative geometry), algebraic geometry (Fano varieties, cubic surfaces), and mathematical physics (he is the “M” in the ADHM construction of instantons, was at the cradle of quantum computing and quantum cohomology, etc.). He wrote influential textbooks on mathematical logic, homological algebra, cubic forms, gauge theory, and noncommutative Late Style—Yuri I. Manin Looking Back on a Life in Mathematics" @default.
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• W2993670137 date "2013-01-01" @default.
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• W2993670137 title "Late style- Yuri I. Manin looking back on a life in Mathematics" @default.
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