Deformations and compactifications of Hilbert
schemes
Thomas Nevins
3.00 pm-5.00 pm March 15
380-383N, Stanford
ABSTRACT: There is a class of noncompact hyperkahler 4-manifolds coming
from complex Poisson surfaces. In certain cases, some moduli spaces
associated to these 4-manifolds are known to assemble into a kind of
universal compactification of the moduli problem, in a way that seems to
be best described in terms of some deformations of the original
4-manifolds. I will give a concrete introduction to this circle of ideas
using the example of R^4, and will describe both known results and some of
the many questions that remain to be answered.
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