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Jan 15, 2018 at 16:19 comment added Tim Porter Just to update on Ronnie Brown's web page. The Bangor page was shut down by the university. Ronnie transferred his page on pursuing stacks to: groupoids.org.uk/pstacks.html
Sep 7, 2010 at 7:13 history edited Tim Porter CC BY-SA 2.5
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Sep 7, 2010 at 6:07 comment added Tim Porter (continued) This also happened with others of the lengthy manuscripts he wrote at about that time, although without Bangor's involvement (so I am not sure of the mechanisms). AG's esquisse d'une programme is another document that is very influential. This process of course is not restricted to this context but is one of the many ways maths grows through its transmission. (If you do not know the story of our involvement in PS you may like to look at Ronnie's webpage: bangor.ac.uk/~mas010/pstacks.htm where he tells the story from his own point of view.)
Sep 7, 2010 at 5:59 comment added Tim Porter That seems highly likely. The background ideas that from about 1984 onwards benefitted from some of the intuitions of, for instance, ` 'pursuing stacks' (PS) rarely used explicitly the constructions of that manuscript. They rather used the general context of those documents. AG sent PS to us in Bangor and Ronnie Brown helped in its distribution by providing (with explicit permission from AG) for copies to be sent to those people who requested it. It was discussed in seminars in various places with some very good mathematicians exploring some of the ideas from their own viewpoints.
Sep 6, 2010 at 15:59 comment added S. Carnahan Just a point of clarification: I am rather certain that he had not looked at any of Grothendieck's long manuscripts until well after his work on derived algebraic geometry had borne some fruit (in particular, after his infinity topoi preprint and his Ph.D.). This is of course assuming that by "long manuscripts" you did not mean published works like SGA. What you said in your answer does not strictly contradict what I'm saying, but I think it could be a source of confusion.
Sep 6, 2010 at 12:30 comment added Daniel Moskovich This is a great answer!
Sep 6, 2010 at 12:02 history answered Tim Porter CC BY-SA 2.5