bio  website  perso.univstetienne.fr/… 

location  SaintEtienne, France  
age  32  
visits  member for  3 years, 2 months 
seen  2 hours ago  
stats  profile views  1,486 
I am currently a Maître de Conférences in SaintÉtienne, in France. I am particularly interested in Number Theory and Arithmetic Geometry.
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accepted  Localizations or quotients of categories? 
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Localizations or quotients of categories?
I tried to follow the link, but it seems to me thatit only describes localizations and I find no reference to quotients. 
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reviewed  Reject suggested edit on Generalization of a property of $A_n; n\geq 5$ 
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Localizations or quotients of categories?
Thanks! I'll give it a try. I wait a bit to accept your answer, just to see whether other opinions show up. 
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Localizations or quotients of categories?
@SimonHenry: Thanks, but I must confess I am totally ignorant about model categories, so it would be helpful if you could add a couple of details/references... 
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Localizations or quotients of categories?
@QiaochuYuan: Uhm... could you explain a bit more? In which world are you considering this colimit(s)? They are objects having universal properties "out" but as Categories, so you are working in $Cat$ or something? 
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Localizations or quotients of categories?
edited title 
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Localizations or quotients of categories?
edited body 
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asked  Localizations or quotients of categories? 
Nov 25 
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Exactness of an additive left Kan extension
As you say, $F_!$ is the restriction of $(S\otimes_R )$, so I am wondering: aren't you asking if a flat module sends short exact sequences of f.p. $R$modules to short exact sequences of $S$modules via tensor product? This is obvious, since f.p. modules are a full and faithful subcategory of all modules... 
Nov 21 
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EichlerShimura congruence
See mathoverflow.net/questions/19390/… 
Nov 20 
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elliptic curves and tower of finite fields
possible duplicate of reduction of elliptic curves to finite field 
Nov 20 
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reduction of elliptic curves to finite field
Have you tried, first of all, to reduce an integer to $\mathbb{F}_{p^2}$? 
Nov 17 
reviewed  Edit suggested edit on Is displacement controled by stable norm? 
Nov 14 
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Oldest photographed mathematician
I personally find the question quite interesting to appear on this site. 
Nov 1 
awarded  Enlightened 
Nov 1 
awarded  Nice Answer 
Oct 23 
reviewed  Reject suggested edit on Disruptive innovations in mathematical notations 
Oct 23 
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Cohomological dimension of transcendental padic extensions
Can you say what $u$ is? 
Oct 17 
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“Algebraic” topologies like the Zariski topology?
Do buildings attached to (say) a Coxeter group enter your question or you really want something "topological" and the combinatorial aspect of buildings somehow deviates? 