In this talk, we will discuss our construction of compact Hausdorff
Moishezon moduli spaces parametrizing smoothable K-stable Fano varieties.
The solution relies on the recent solution of the Yau-Tian-Donaldson
conjecture by Chen-Donaldson-Sun and Tian. In particular, we prove the
uniqueness of the degeneration of Fano Kahler-Einstein manifolds and more
algebraic properties that are needed to construct an algebraic moduli
space. (This is a joint work with Chi Li and Chenyang Xu).
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Last modified: April 11 2016 - 18:14:43