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Triangulations of the sphere and degenerations of K3 surfaces


Speaker: Radu Laza, University of Michigan
Location: 1147 MSB
Start time: Fri, Jan 16 2009, 4:10PM

Using cone metrics on S2, W. Thurston proved that the triangulations of the sphere of non-negative combinatorial curvature are parameterized by the points of positive norm in a certain Eisenstein lattice. In this talk, I will discuss a different approach to this result based on the study of the degenerations of K3 surfaces. I will also discuss the connection to the compactification problem for the moduli space of polarized K3 surfaces.