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Results tagged with soft-question
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user 429204
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
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 …
1
vote
0
answers
49
views
Defining properties of categories out of an indicial category
$\newcommand{\Hom}{\operatorname{Hom}}$Suppose we want to define the category of arrows of $S$. Below are two forms of doing it.
Definition 1: If $D$ is of the following type: $\bullet \to \bullet$, …
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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 …
6
votes
Topology in non-mathematical literature
At the Bourbaki Seminar in November 1968 the participants were handed a (premature) announcement of Bourbaki’s death.
At the end it says
Car Dieu est le compactifié d'Alexandrov de l'univers. Groth I …
3
votes
0
answers
184
views
The site and the space
There is a (seemingly simple) statement in the literature on sheaf theory, namely,
If $E$ is the site of opens of a topological space $X$, the notion of sheaf over $X$ coincides with that of sheaf of …
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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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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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0
votes
What are some mathematical sculptures?
Sculpture by Nina Douglas, at the Simons Center for Geometry & Physics
(There is also a copy at IHES)
11
votes
Is a come back to mathematical research possible?
Grothendieck is indeed a very good example.
After leaving the mathematical community partly because :
In the month of November, 1969, I discovered that the Institut des Hautes Études Scientifiques, w …
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 …
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
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 …
1
vote
Exposition of Grothendieck's mathematics
For 5. Topoi. There is a very readable notice of the AMS: What is... a topos?, Luc Illusie, and with M Raynaud about Schemes at Grothendieck and Algebraic Geometry. In fact, the webpage of Professor L …
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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