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4:00 pm Tuesday, February 9, 2010 Algebraic Geometry Seminar : Hilbert stacks for moduli spacesby
Jack Hall (Stanford) in HB 227- The Hilbert scheme of P^n classifies nice families of subschemes. It is a basic object in an algebraic geometer's toolbox. Consequently, for a general scheme one might be interested in whether or not a Hilbert scheme can be constructed. If the scheme in question is separated, it is a classical result that there is a Hilbert scheme. When one studies moduli spaces, however, you cannot always assume that your moduli space is separated. I will cover some ideas that allow you to obtain a Hilbert stack for non-separated moduli spaces. Knowledge of stacks is not a prerequisite for this talk.
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