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Nov 21, 2019 at 22:36 comment added Denis Nardin @DavidRoberts Thanks for the link. And I can't believe I forgot "higher" in the title...
Nov 21, 2019 at 22:36 history edited Denis Nardin CC BY-SA 4.0
Added link and corrected title
Nov 21, 2019 at 22:30 comment added David Roberts T&T is available as a pdf from Rainicki's archive. And the title is Higher algebraic K-theory of schemes ....
Nov 21, 2019 at 21:49 history edited Denis Nardin CC BY-SA 4.0
Corrected missing hypothesis
Nov 21, 2019 at 18:39 vote accept Li Guanyu
Nov 19, 2019 at 9:40 comment added Denis Nardin @ACL Essentially,algebraic K-theory is much better studied using (∞,1)-categories.Probably the standard references here are Blumberg-Gepner-Tabuada'sA universal characterization of higher algebraic K-theory and Barwick's On the K-theory of higher categories,but there's plenty of material (cfr. the recent paper by Land and Tamme on excision, or the work by Clausen,Mathew,Naumann,Noel for some stricking applications which are probably more accessible),and this is without mentioning motivic homotopy theory
Nov 19, 2019 at 9:36 comment added ACL Denis, can you comment this sentence : “although if you want to invest some time learning some modern homotopy theory can only be beneficial -- many of the proofs in Thomason-Trobaugh can be simplified if you have more modern technology at your disposal” ? Could you give hints or references ? Thanks.
Nov 18, 2019 at 22:21 history answered Denis Nardin CC BY-SA 4.0