Partial desingularizations of good moduli spaces of toric Artin
stacks  -- Dan Edidin, October 15, 2010 

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In her classic paper, Frances Kirwan gave a method
for obtaining partial desingularizations of GIT quotients of
smooth projective varieties. A natural question for a
stack-minded person to ask is whether Kirwan's procedure has an
analogue for good moduli spaces of smooth Artin stacks which do
not come from GIT. In this talk we view complete non-simplicial
toric varieties as good moduli spaces of toric Artin stacks and
show that, in this case, there is a simple combinatorial
procedure that replicates Kirwan's construction.

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This talk is based on joint work with Yogesh More.