GIT stability of weighted pointed curves -- David Swinarski, January 25, 2008

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I will discuss my recent proof that smooth curves with distinct
marked points are asymptotically Hilbert stable with respect to
a wide range of parameter spaces and linearizations.  In the
talk I'll relate this proof to previous work by Mumford,
Gieseker, Baldwin and myself; (gently) illustrate how the proof
works in an example; explain how the result is useful for
constructing moduli spaces; and hint at what else these
techniques might be good for.