Timeline for Versality in deformation theory vs. versality in moduli spaces
Current License: CC BY-SA 2.5
7 events
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Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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May 18, 2010 at 20:17 | vote | accept | Randy Brown | ||
May 17, 2010 at 13:23 | answer | added | Daniel Larsson | timeline score: 2 | |
May 17, 2010 at 12:34 | answer | added | Heinrich Hartmann | timeline score: 7 | |
Mar 8, 2010 at 20:57 | comment | added | Harry Gindi | This approach extends to a much more general theory using the $(\infty,1)$-categorical approach of left fibrations detailed in Lurie's Higher Topos Theory, which gives us not only categories and higher categories cofibered in groupoids, but also recovers deformation spaces and moduli spaces using $\infty$-groupoids. | |
Mar 8, 2010 at 20:38 | comment | added | Harry Gindi | Well, deformation theory can be approached in some way dual to the theory of moduli stacks. That is, you can look at categories cofibered (opfibered?) in groupoids. It doesn't seem too crazy to assume that versality is defined dually in deformation theory as well. Ravi Vakil has notes on deformation theory that explain this approach, but I don't know if they contain this specific definition. | |
Mar 8, 2010 at 19:25 | history | asked | Randy Brown | CC BY-SA 2.5 |