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Would someone be able to list some major open problems in the following three areas 1.) Algebraic Topology 2.) Elliptic Curves and 3.) Algebraic Geometry

Oh ! and elliptic cohomology too!

Thanks very much!

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Even one of those topics would be far too broad for an MO question! – Andy Putman Dec 29 2010 at 23:29
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I suggest that google is the right venue, as in search for "major problems in algebraic" – Igor Rivin Dec 29 2010 at 23:32
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check out the clay millenium problems, and the problems from the 2000 anniversary conference at UCLA recalling Hilbert's problems. – roy smith Dec 29 2010 at 23:49

closed as not a real question by Andy Putman, Noah Snyder, Deane Yang, Felipe Voloch, Pete L. Clark Dec 30 2010 at 0:14

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