In the Promenade, and here and there in Récoltes et Semailles I will be .. travaux mathematiques de A. Grothendieck”)was written in in. Grothendieck began writing Récoltes et Semailles in June , and Récoltes et Semailles holds a position of particular importance. Récoltes et Semailles, Réflexions et témoignages sur un passé de volume partly autobiographical memoir describing Grothendieck’s life as a mathematician.
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This was accomplished successfully by Deligne in his “Theorie de Hodge”.
Alexandre Grothendieck: Récoltes et semailles ()
Sign up using Email and Password. Open Preview See a Problem? I have no doubt that this is a really hard question to tackle. I am not familiar with the Montpellier people. Refresh and try again. I do apologize in advance for interpreting the question in such a self-centered fashion! Want to Read saving….
I still don’t even know what the standard conjectures state and thus didn’t understand anything, but I know many people are working hard to prove these conjectures. Now, is the theory developing the way Grothendieck envisioned, that’s another story, but the topic has definitely taken off.
Alexandre Grothendieck: Récoltes et semailles (1986)
Szpiro, meanwhile, had a very lively interest in the Mordell conjecture, as you can see from his writings and seminars in the late 70’s and early 80’s. Post as a guest Name.
I’m glad you enjoyed it. Would it be ok to say that the motive of anabelian studies is to see, how far “arithmetics” and “topology” coincide? I can’t say I understand much of this, but I really enjoyed it. Now I’ve got two answers quite different in nature and in tone and since I’m equally pleased with both of them perhaps I should just let them benefit the community and don’t decide to officially accept one of them.
I do remember there was a lot, and this is a question of mathematical interest. Grothendieck himself expressed the possibility of using resolution of singularity and simplicial techniques or variants to study the cohomology of a singular variety reducing it to its resolution and resolution of certain open subsets.
To summarize, I’m suggesting that the mathematical content of Grothendieck’s strong objection to motives was inextricably linked with his ideas on homotopy theory as appeared in ‘Pursuing Stacks’ and the anabelian letter to Faltings, and catalyzed by his realization that the motivic philosophy had been of limited use maybe even a bit of an obstruction in the proof of the Mordell conjecture.
Matthew Levy 6 Minhyong Kim 9, 10 58 But the transfer results between tame theories that are sketched in “Esquisse” are not really there yet, and I’m not sure if it’s because it’s too early or because it’s not really what researchers in the field are after.
Récoltes et semailles in nLab
He is the subject of many stories and some misleading rumors concerning his work habits and politics, his reecoltes with other mathematicians and the French authorities, his withdrawal from mathematics at age 42, his retirement, and his subsequent lengthy writings. I have read that there have been several attempts to translate it into English. Nops marked it as to-read Nov 15, Nicolas Delporte marked it as to-read Dec 18, Filipa marked it as to-read Nov 17, If the answer to the first question is negative, what are the difficulties involved in implementing Grothendieck’s ideas?
However, I recall for instance reading Grothendieck’s opinion that standard conjectures were false, and claiming he had in mind a few related conjectures which he doesn’t state precisely which might turn out to be the right ones.
Serge Lang had put his copy into the mathematics library at Yale, a very cozy place then for hiding among the shelves and getting lost in thoughts or words.
There were in Orsay and Paris some tremendously powerful people in arithmetic geometry. Again, I have no opinion about the social aspect of such a sentiment assuming the story true rwcoltes, but it is interesting to speculate on the mathematical context.
Thanks for posting it. As for “tame topology” my impression is that he topic has not taken off, but I may be wrong about this. Mathematics is not just about the problems, it is also about the eventual solutions, and the ones who solve them of course! Steve marked it as to-read Mar 20, It has been translated to some languages other than English, but I do not know about an English version.
Michel rated it really liked it Nov 14, Grothendiek marked it as to-read Nov 15, I can easily find the French version, but as you see I need the English version.