August 1, 2019 posted by

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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Nathan marked it as to-read Nov 14, Email Required, but never shown.

Alexandre Grothendieck: Récoltes et semailles (1986)

It would be interesting to know Grothendieck’s ideas in greater detail. Roy Lisker’s translation, linked to above, is 98 pages and covers the Preface, Introduction and the first 18 sections, “Promenade through a life’s work – or the Child and grohhendieck Mother. Joie added it Jul 01, 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 semaillles the field are after.

Therefore I thought I had better ask the question the way I did, but sure enough I wish someone could answer yours. Those people took the mathematical content seriously but it was beyond anyone’s reach to understand what Grothendieck was trying to get at because of the idiosyncratic writing style. I don’t know much of the underlying Mathematics either but I enjoyed it too, thanks a lot for sharing your experience.


Ingres marked it as to-read Aug 24, Katherine added it Apr 27, Sign up using Facebook.

Happy holidays and all that to you and your family. Michel frothendieck it really liked it Nov 14, Jonathan Chiche 1, 1 18 At least it made Grothendieck’s “Esquisse d’un programme” more visible and it is clear that the topics there like anabelian geometry or the new foundations for homotopical algebra have been two avenues of research of great interest recently.

By clicking “Post Your Semajlles, 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. 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.

Alexandre Grothendieck: Récoltes et semailles ()

eh Sign up or log in Sign up using Google. Return to Book Page. MathOverflow works best with JavaScript enabled. One suspects that the habits of the Grothendieck school, whereby the six operations had to be established first in every situation where a problem seemed worth solving, could be enormously helpful in some situations, and limiting in some others.

Thanks for posting it. I have read that there have been several attempts to translate it into English.

Moreover, there are some negative results, since there is no largest tame category available, but even partial results don’t seem here yet. Idle thoughts In the latter case, I could come up with some possible explanations: Are you familiar with the work semaillrs his students from Montpellier, such as Ladegallerie, Magloire and others?


The ideas were already outdated or have been proven wrong. Mathematics is not just about the problems, it is also about the eventual solutions, and the ones who solve them of course! 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.

No doubt the emphasis would be in scheme-like categorical constructions and “devissage” style properties.

If this is the case, I’d appreciate a reference. Leo Alonso 5, 2 22 Anup marked it as to-read Nov 15, Thanks for the story and the links!

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Wes marked it as to-read Jul gorthendieck, I don’t know much gfothendieck fractional motives. Mykyta Kuzmenko rated it it was ok Apr 29, 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.