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13
votes
Accepted
What are Motivic homotopy types?
Not sure about later developments, but the idea is mentioned in a famous passage of Grothendieck's Récoltes et Semailles. I quote from Roy Lisker's translation:
Thus, the motive presents itself as …
10
votes
Accepted
Reference for Manin's idea on algebraic geometry over the symmetric monoidal model category ...
The only reference ever given for this is
Y. Manin, Letter, March 2000
I don't think this letter (from Manin to Bertrand Toen, I presume) has ever been made public, and definitely it hasn't been …
11
votes
Accepted
Reference for Nori motives
Probably the best introduction has already been mentioned by Donu Arapura, and it is available online:
Marc Levine, Mixed Motives (2005)
Section 1 ("Essentials of Nori Motives") of this paper migh …