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13 votes
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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 …
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10 votes
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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 …
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11 votes
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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 …
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