GROTHENDIECK RECOLTES ET SEMAILLES PDF

I do apologize in advance for interpreting the question in such a self-centered fashion! Serge Lang had put his copy into the mathematics library at Yale, a very cozy place then for hiding among the shelves and getting lost in thoughts or words. Even the bits I read of course were hard going. However, one thing was clear even to my superficial understanding: Grothendieck, at that point, was dissatisfied with motives. Again, I have no opinion about the social aspect of such a sentiment assuming the story true , but it is interesting to speculate on the mathematical context. There were in Orsay and Paris some tremendously powerful people in arithmetic geometry.

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I do apologize in advance for interpreting the question in such a self-centered fashion! Serge Lang had put his copy into the mathematics library at Yale, a very cozy place then for hiding among the shelves and getting lost in thoughts or words. Even the bits I read of course were hard going.

However, one thing was clear even to my superficial understanding: Grothendieck, at that point, was dissatisfied with motives. Again, I have no opinion about the social aspect of such a sentiment assuming the story true , but it is interesting to speculate on the mathematical context.

There were in Orsay and Paris some tremendously powerful people in arithmetic geometry. 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.

More precisely, motives were inadequate for the study of points the most basic maps between schemes! Hence, arithmetic homotopy theory. For a bit of an update, see my paper with Coates here.

So I wonder if someone knowledgeable could be troubled to give a brief summary of what it is Grothendieck really says there about the six operations. I do remember there was a lot, and this is a question of mathematical interest.

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Life[ edit ] Family and childhood[ edit ] Grothendieck was born in Berlin to anarchist parents. His father, Alexander "Sascha" Schapiro also known as Alexander Tanaroff , had Hasidic Jewish roots and had been imprisoned in Russia before moving to Germany in , while his mother, Johanna "Hanka" Grothendieck, came from a Protestant family in Hamburg and worked as a journalist. Both had broken away from their early backgrounds in their teens. They left Grothendieck in the care of Wilhelm Heydorn, a Lutheran pastor and teacher [16] [17] in Hamburg. Shortly afterwards his father was interned in Le Vernet. Once Alexander managed to escape from the camp, intending to assassinate Hitler.

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