The Abel Prize 2008-2012

Covering the years 2008-2012, this book profiles the lifestyles and paintings of modern winners of the Abel Prize:
 
·         John G. Thompson and Jacques titties, 2008
·         Mikhail Gromov, 2009
·         John T. Tate Jr., 2010
·         John W. Milnor, 2011
·         Endre Szemerédi, 2012.

The profiles function autobiographical details in addition to an outline of every mathematician's paintings. furthermore, each one profile features a whole bibliography, a curriculum vitae, in addition to images ― outdated and new. As an additional feature, interviews with the Laureates are awarded on an accompanying website (http://extras.springer.com/).

The e-book additionally provides a  history of the Abel Prize written via the historian Kim Helsvig, and features a facsimile of a letter from Niels Henrik Abel, that is transcribed, translated into English, and put into historic perspective by Christian Skau.

This publication follows on The Abel Prize: 2003-2007, the 1st 5 Years (Springer, 2010), which profiles the paintings of the 1st Abel Prize winners.

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6 References xv Kneading conception . . . . . . . . . . . . . . . . . . Milnor’s Attractors . . . . . . . . . . . . . . . . . . Self-similarity and Hairiness of the Mandelbrot Set past the Quadratic relatives . . . . . . . . . . . . Two-Dimensional Dynamics . . . . . . . . . . . . paintings Gallery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 377 379 381 385 388 389 John W. Milnor’s paintings at the class of Differentiable Manifolds L. C. Siebenmann 1 a few Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . 2 the invention of unique 7-Spheres .

376 377 379 381 385 388 389 John W. Milnor’s paintings at the category of Differentiable Manifolds L. C. Siebenmann 1 a few Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . 2 the invention of unique 7-Spheres . . . . . . . . . . . . . . . . 2. 1 Synopsis . . . . . . . . . . . . . . . . . . . . . . . . . . 2. 2 1956: Why the shock? a few background . . . . . . . . . . 2. three Milnor’s Incendiary 1956 Article seems . . . . . . . . 2. four From Thom’s Cobordism to Diffeomorphism? . . . . . . 2. five Milnor’s attempt Manifolds . . . . . . . . . . . . . . . . . . 2. 6 in the direction of a simple ‘Endoscopic’ type of those 8-Manifolds .

Q ) via structures of producing shape, in addition to to C zero -approximate any given map g := (g1 , . . . , gq ) : M → Rq via the map f := (f1 , . . . , fq ). cartoon of the facts The evidence inductively replaces the kinds α1 , . . . , αq through specified types. we'll speak about right here basically the final step; the intermediate steps vary purely within the notation. think that we already changed α1 , . . . , αq−1 via detailed types df1 , . . . , dfq−1 such that the method of varieties (df1 , . . . , dfq−1 , αq ) generate T ∗ M. Then f := (f1 , .

Gromov posed the subsequent query: is it actual that the combo of all these measures Mn , n = 1, 2, three . . . , totally determines the triple as much as an isomorphism (that is, as much as a measure-preserving isometry). The confident solution is confirmed (in a slightly tough approach; really by way of the strategy of momenta) by way of Gromov in his booklet (p. 120–123). this important truth is named Gromov’s Reconstruction Theorem. nearly in 1997 or now not a lot past M. Gromov requested me what i assumed of that theorem and its evidence.

The Abel Prize—The lacking Nobel in arithmetic? Kim G. Helsvig by way of the spring of 2001, the lobbying to set up a prize in arithmetic in reminiscence of the Norwegian mathematician Niels Henrik Abel (1802–1829) was once good underway. On may perhaps 10, Professor Arnfinn Laudal from the dep. of arithmetic on the collage of Oslo despatched an electronic mail to the president of the overseas Mathematical Union, Jacob Palis.

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