Michael Atiyah citáty

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Michael Atiyah

Datum narození: 22. duben 1929
Datum úmrtí: 11. leden 2019

Sir Michael Francis Atiyah, OM, FRS, FRSE byl britský matematik zabývající se geometrií. Vyrostl v Súdánu a Egyptě, ale většinu své akademické kariéry strávil ve Spojeném království v Oxfordu a Cambridgi a ve Spojených státech na Institute for Advanced Study. Byl prezidentem Královské společnosti , ředitelem Trinity College , kancléřem Univerzity v Leicesteru a prezidentem Královské společnosti v Edinburghu . Byl čestným prezidentem na Univerzitě v Edinburghu.

Mezi jeho spolupracovníky v matematice patří např. Raoul Bott, Friedrich Hirzebruch a Isadore Singer a jeho studenti Graeme Segal, Nigel Hitchin a Simon Donaldson. Spolu s Hirzebruchem položil základy pro topologickou K-teorii, důležitý nástroj v algebraické topologii, který popisuje způsoby, kterými může být ohýbán prostor. Atiyahova-Singerova věta o indexu, kterou spolu se Singerem dokázal v roce 1963, se využívá k určení počtu řešení diferenciálních rovnic. V roce 1966 získal Fieldsovu medaili, v roce 1988 Copleyho medaili a v roce 2004 Abelovu cenu.

Citáty Michael Atiyah

„I always want to try to understand why things work. I’m not interested in getting a formula without knowing what it means. I always try to dig behind the scenes, so if I have a formula, I understand why it’s there. And understanding is a very difficult notion“

—  Michael Atiyah

On an article by Qunta magazine(when asked: Is there one big question that has always guided you?) https://www.quantamagazine.org/michael-atiyahs-mathematical-dreams-20160303
Kontext: I always want to try to understand why things work. I’m not interested in getting a formula without knowing what it means. I always try to dig behind the scenes, so if I have a formula, I understand why it’s there. And understanding is a very difficult notion. People think mathematics begins when you write down a theorem followed by a proof. That’s not the beginning, that’s the end. For me the creative place in mathematics comes before you start to put things down on paper, before you try to write a formula. You picture various things, you turn them over in your mind. You’re trying to create, just as a musician is trying to create music, or a poet. There are no rules laid down. You have to do it your own way. But at the end, just as a composer has to put it down on paper, you have to write things down. But the most important stage is understanding. A proof by itself doesn’t give you understanding. You can have a long proof and no idea at the end of why it works. But to understand why it works, you have to have a kind of gut reaction to the thing. You’ve got to feel it.

„Algebra is the offer made by the devil to the mathematician. The devil says: `I will give you this powerful machine, it will answer any question you like. All you need to do is give me your soul: give up geometry and you will have this marvellous machine.“

—  Michael Atiyah

[Michael Atiyah, Collected works. Vol. 6, The Clarendon Press Oxford University Press, Oxford Science Publications, http://www.math.tamu.edu/~rojas/atiyah20thcentury.pdf, 978-0-19-853099-2, 2160826, 2004]

„This 'Hodge conjecture' has by now achieved a considerable status, almost on a par with the Riemann hypothesis or the Poincaré conjecture.“

—  Michael Atiyah

[Michael Atiyah, Collected Works: Michael Atiyah Collected Works: Volume 1: Early Papers; General Papers, http://books.google.com/books?id=YJ0cZwxLECAC&pg=PA250, 28 April 1988, Clarendon Press, 978-0-19-853275-0, 250]

„My own supervisor, William Hodge, the creator of the fertile theory of harmonic forms, was not a genius like Ramanujan but resembled Lefschetz.“

—  Michael Atiyah

[Michael Atiyah, Michael Atiyah Collected Works: Volume 7: 2002-2013, https://books.google.com/books?id=Rm6VAwAAQBAJ&pg=PA286, 3 April 2014, Oxford University Press, 978-0-19-968926-2, 286]

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