Frases de Michael Atiyah

Michael Francis Atiyah, OM, FRS es un matemático británico[1]​ de ascendencia libanesa.

Atiyah fue uno de los creadores, junto a Friedrich Hirzebruch, de la Teoría K topológica, una parte de la topología algebraica. Ha colaborado con muchos otros matemáticos, entre otros Raoul Bott e Isadore Singer. Con este último formuló el Teorema de los índices de Atiyah-Singer. Esto lo llevó a estudiar la teoría de las representaciones y las ecuaciones del calor sobre las variedades. Sucesivamente se interesó por la teoría de campo de gauge.[2]​

Atiyah recibió la Medalla Fields en 1966, la Medalla Copley en 1988 y el Premio Abel en 2004. Fue condecorado con la Orden del Mérito del Reino Unido.[3]​ En 1981, la Accademia dei Lincei le otorgó el Premio Feltrinelli. Gran Medalla de la Academia Francesa de Ciencias en 2010.

✵ 22. abril 1929 – 11. enero 2019
Michael Atiyah Foto
Michael Atiyah: 5   frases 0   Me gusta

Michael Atiyah: Frases en inglés

“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”

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
Contexto: 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, 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, 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 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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