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Timeline for Non-commutative algebraic geometry

Current License: CC BY-SA 4.0

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Jun 14, 2022 at 9:14 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question was bumped anyway)
Dec 14, 2009 at 23:35 comment added Shizhuo Zhang I will try to make a bit explanation to you on the relation of derived noncommutative algebraic geometry and non commutative algebraic geometry in abelian approach. Because the approach developed by Rosenberg himself aims at representation theory, so I would discuss the relationship with Belinson Bernstein and Deligne. I have to mention, Rosenberg framework are the approach based on abelian category, I can discuss the relationship with Beilinson-Kontsevich-Bondal&Orlov in derived category Kontsevich-Rosenberg approach is based on taken a presheaf of sets as noncommutative "space"
Dec 14, 2009 at 21:36 comment added GMRA I do not know either, but as you say, Kontsevich is one of the proponents of this approach to noncommutative algebraic geometry.
Dec 14, 2009 at 21:31 comment added Kevin H. Lin I have not read any of the Rosenberg-Kontsevich stuff, so I wonder how related the two approaches are. In any case, Kontsevich (and collaborators) also take the approach of "non-commutative algebraic geometry via derived categories" in many recent papers, e.g. Katzarkov-Kontsevich-Pantev.
Dec 14, 2009 at 21:21 history answered GMRA CC BY-SA 2.5