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May 31, 2010 at 5:30 comment added Kevin H. Lin Andrew, have you seen mathoverflow.net/questions/385/… ? I believe that differential graded Lie algebras are the bridge between the "classical" and the "modern" theory.
May 30, 2010 at 20:29 comment added The Mathemagician I think at some point,I'm going to begin a thread on general deformation theory where we need to distinguish carefully between algebraic and analytic deformation theory,as well as between classical algebraic deformation theory (Gerstenhaber,Schessinger) and the modern theory (Harsthorne,Lurie). They all appear quite different,but they are clearly connected. Those interconnections aren't really clear to the beginner or even someone with a classical background like me.
May 30, 2010 at 19:27 comment added Kevin H. Lin I like these notes a lot, too. If you like Manetti's notes, I recommend also looking at Kontsevich's and Gerstenhaber's work on deformation theory for a more general picture.
May 30, 2010 at 16:28 comment added Gunnar Þór Magnússon I actually have those on my desk. The examples are very nice, and the historical surveys are a good touch.
May 30, 2010 at 16:03 history answered Charles Siegel CC BY-SA 2.5