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2:30 pm Thursday, November 13, 2008 Special colloquium: Triangulations of the sphere and degenerations of K3 surfacesby Radu Laza (University of Michigan) in HB 227- Using cone metrics on S^2, 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.
Submitted by hassett@math.rice.edu |