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Results tagged with ho.history-overview
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user 429204
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
8
votes
Archiving mathematical correspondence
The Grothendieck-Mumford correspondence
These letters have been published in Volume II of Mumford's complete works (Selected Papers II. On Algebraic Geometry, Including Correspondence with Grothendiec …
5
votes
Archiving mathematical correspondence
The Grothendieck-Brown correspondence
As far as I know these letters are planned to be published alongside "Pursuing stacks" on Documents Mathématiques
3
votes
Archiving mathematical correspondence
This page https://agrothendieck.github.io/ is collecting (mainly from the https://grothendieck.umontpellier.fr/archives-grothendieck/) mathematical letters from Grothendieck (it is work in progress bu …
3
votes
Where can I find that Weil suggested a cohomology theory for characteristic $p>0$?
As already mentioned in the comments it is very likely that Weil's heuristics appear in "Numbers of solutions of equations in finite fields", Bull. Amer. Math. Soc. 55(5): 497--508 (May 1949). But as …
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4
votes
What are examples of mathematical concepts named after the wrong people? (Stigler's law)
Tannakian categories, a terminology chosen by N. Saavedra in his thesis under Grothendieck.
Grothendieck would prefer (Grothendieck–) Galois–Poincaré $\otimes$-categories.
See Récoltes et Semailles.
6
votes
Authorship of Grothendieck universes
Even if there is an accepted answer, I would like to question the hypothesis.
According to
Ralf Krömer, La « machine de Grothendieck » se fonde-t-elle seulement sur des vocables métamathématiques? Bo …
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4
votes
1
answer
571
views
Who introduced nerves in category theory?
Who was the first to consider that categories were semi-simplicial sets (and in particular groupoids were simplicial sets)?
I think there was a concept of nerve of a covering in algebraic topology bef …
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2
votes
0
answers
288
views
Cartier and the continuity of the early history of schemes
If you allow me I would divide the early history of schemes this way
_ Weil, Zariski, Bourbaki, Nagata, Van der Waerden,... up to Chevalley (you can find an interesting blog here)
J P Serre varieties …
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3
votes
4
answers
534
views
Phenomena of topos
These days I am wandering on a wild adventure in an incredible but intimidating land. Fortunately, I could find a guide to some animals of this land
Phenomena of gerbes
But someone said to me that thi …
5
votes
Has the mathematical content of Grothendieck's "Récoltes et Semailles" been used?
Yes, R&S proved to be influential in at least one sense, the mathematical work of Z. Mebkhout (part four is dedicated to him indeed: "À Zoghman Mebkhout l’ouvrier solitaire en témoignage de respect et …
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8
votes
0
answers
328
views
Who introduced the notion of ringed spaces?
My question is very concise, please forgive it.
Who introduced the concept of ringed space?
My first try would be that they were introduced by Cartan in his study of analytic functions with sheaves. …
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7
votes
Jouanolou thesis on l-adic cohomology
The thesis is now published and you can find it in HAL/TEL
https://theses.hal.science/tel-04236971v1
Jean-Pierre Jouanolou. Catégories Dérivées en Cohomologie ℓ-adique. Mathématiques [math]. Faculté d …
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2
votes
Grothendieck on topological vector spaces
Maybe you will find interesting the following references
Grothendieck's Theorem, past and present, Pisier
or
Grothendieck’s works on Banach spaces and
their surprising recent repercussions
A. Grothend …
3
votes
Grothendieck on polyhedra over finite fields
Not an exact answer to your question but maybe it can be helpful to know:
La théorie combinatoire de l'icosaèdre by V Diekert
This was a "Rapport pour un DES d'université de l'année 1977/78" under Gro …
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