It is less than four years since cohomological methods (i. e. methods of Homological Algebra) were introduced into Algebraic Geometry in Serre's fundamental paper[11], and it seems certain that they are to overflow the part of mathematics in the coming years, from the foundations up to the most advanced parts. ... [11] Serre, J. P. Faisceaux algébriques cohérents. Ann. Math. (2), 6, 197–278.
Alexander GrothendieckRelated topics
algebra ann certain coming four fundamental geometry less math mathematics paper years partsRelated quotes
The mathematical framework of quantum theory has passed countless successful tests and is now universally accepted as a consistent and accurate description of all atomic phenomena. The verbal interpretation, on the other hand – i. e., the metaphysics of quantum theory – is on far less solid ground. In fact, in more than forty years physicists have not been able to provide a clear metaphysical model.
Fritjof Capra
Love could be set in motion quickly, but true love needed time to grow into something strong and enduring. Love was, above all, about commitment and dedication and a belief that spending years with a certain person would create something greater than the sum of what the two could accomplish separately. Only time, however, could show whether you'd been accurate in your judgment.
Nicholas Sparks
A partial Jewish State is not the end, but only the beginning. ... I am certain that we well not be prevented from settling in the other parts of the country, either by mutual agreements with our Arab neighbors or by some other means... [If the Arabs refuse] we shall have to speak to them in another language. But we shall only have another language if we have a state.
David Ben-Gurion
No mockery in this world ever sounds to me so hollow as that of being told to cultivate happiness. What does such advice mean? Happiness is not a potato, to be planted in mould, and tilled with manure. Happiness is a glory shining far down upon us out of Heaven. She is a divine dew which the soul, on certain of its summer mornings, feels dropping upon it from the amaranth bloom and golden fruitage of Paradise.
Charlotte Brontë
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
Benoît Mandelbrot