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4ģ 10, 2026
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"The nice thing about mathematics is doing mathematics."
"From Grothendieck] and his example, I have also learned not to take glory in the difficulty of a proof: difficulty means we have not understood. The ideal is to be able to paint a landscape in which the proof is obvious."
"In RĆ©coltes et Semailles, Grothendieck counts his twelve disciples. The central character is Pierre Deligne, who combines in this tale the features of John, āthe disciple whom Jesus lovedā, and Judas the betrayer. The weight of symbols!"
"Deligneās method was totally perpendicular to Grothendieckās: he knew every trick of his masterās trade by heart, every concept, every variant. His proof, given in 1974, is a frontal attack and a marvel of precision, in which the steps follow each other in an absolutely natural order, without surprises. Those who heard his lectures had the impression, day after day, that nothing new was happeningāwhereas every lecture by Grothendieck introduced a whole new world of concepts, each more general than the one beforeābut on the last day, everything was in place and victory was assured. Deligne knocked down the obstacles one after the other, but each one of them was familiar in style. I think that this opposition of methods, or rather of temperament, is the true reason behind the personal conflict which developed between the two of them. I also think that the fact that āJohn, the disciple that Jesus lovedā wrote the last Gospel by himself partly explains Grothendieckās furious exile that Grothendieck has imposed upon himself."
"Usually mathematicians are either theory builders, who develop tools, or problem-solvers, who use those tools to find solutions... Deligne is unusual in being both. Heās got a very special mind."