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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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Even though I wasn’t knowledgeable enough to have an opinion about the social commentary in the book, I did wonder quite a bit if some of the discontent could have a purely mathematical source. Amin marked it as to-read Aug 18, But a few more changes possible: This question is partly motivated by this one.

Alejandro Calle Saldarriaga marked it as to-read Oct 19, Those people took the mathematical e seriously but it was beyond anyone’s reach to understand what Grothendieck was trying to get at because of the idiosyncratic writing style.

More precisely, motives were inadequate for the study of points the most basic maps between schemes!

Books by Alexandre Grothendieck. For a bit of an update, see my paper with Coates here. Sergei rated it it was amazing Oct 17, Joie added it Jul 01, Sign up using Email and Password.

Leire marked it as to-read Aug 28, I can’t say I understand much of this, but I really enjoyed it. Wow, someone should make this an open source project or something. He is the subject of many stories and some misleading rumors concerning his work habits and politics, his confrontations with other mathematicians and the French authorities, his withdrawal from mathematics at age 42, his retirement, and his subsequent lengthy writings.

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.


Alexandre Grothendieck: Récoltes et semailles (1986)

There were in Orsay and Paris rcoltes tremendously powerful people in arithmetic geometry. A clue reciltes shortly afterwards, when I heard from Faltings Grothendieck’s ideas on anabelian geometry. I don’t know much of the underlying Mathematics either but I enjoyed it too, thanks a lot for sharing your experience.

To expand on my last comment, the theory of o-minimal structures has been very successful, especially in the constructions of new and unexpectedly tame structures and applications.

As for “tame topology” my impression is that he topic has not taken off, but I may be wrong about this. He declined the latter prize on ethical grounds in an open letter to the media. Anthony marked it as to-read May 20, In view of your comment, I’d add c a better way to ask your third question is “If grothendiec, answer to the first is negative, what are the mathematical difficulties involved in implementing G’s ideas?

Dav marked it as to-read Nov 15, Mathematics Stack Exchange works best with JavaScript enabled.

Hence, arithmetic homotopy theory. I’m glad you enjoyed it. Some of the inspirations for the theory of o-minimal structures can be traced back to Grothendieck’s ideas; gecoltes trailblazers like Lou van den Dries and Angus MacIntyre are on the record about this.

Even the bits I read of course were hard going.

Alexandre Grothendieck: Récoltes et semailles ()

Thanks Thiery for correcting my misconception. No doubt the emphasis would be in scheme-like categorical constructions and “devissage” style properties. Return to Book Page. I wouldn’t quite put matters the way you did, but I have no real objection to that formulation either.

On the other hand, the big panoply of new objects algebraic spaces, stacks, derived algebro-geometric objects possibly has drained people from working on this questions.

Récoltes et semailles: Réflexions et témoignage sur un passé de mathématicien.

Pri marked it as to-read Nov 15, I still recall my initial reaction to the section conjecture: Gexaedron marked it as to-read Jul 09, Alexandre Puttick marked it as to-read Nov 17, Mathematics is not just about the problems, it is also about the eventual solutions, and the ones who solve them of course!


Again, Rcoltes have no opinion about the social aspect of such a sentiment assuming the story truebut it is interesting to speculate on the mathematical context.

Catalin marked it as to-read Jan 12, Lola marked it as to-read Aug 13, You may also want to remove or rephrase that section in your question. Therefore I thought I had better ask the question the way I did, but sure enough I wish someone could answer yours. Nicolas Delporte marked it as to-read Dec 18, Should one of these two suppositions be backed by evidence, I’d appreciate a factual answer.

Récoltes et semailles in nLab

Moreover, there are some negative results, since there is no largest tame category available, but even partial results don’t seem here yet. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

Sign up or log in Sign up using Google. I can easily find semaillex French version, but as you see I need the English version. Is there an English translation of this Recoltes et Grofhendieck anywhere, perhaps online? Now, is the theory developing the way Grothendieck envisioned, that’s wt story, but the topic has definitely taken off.

Mcitran is currently reading it Sep 06, But I’ve come across a very small portion of them only.

There is a translation into Russian.