Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

On complete Calabi-Yau manifolds asymptotic to cones

Junsheng Zhang, Department of Mathematics, UC Berkeley,

We proved a ‘'no semistability at infinity" result for complete Calabi-Yau metrics asymptotic to cones, by eliminating the possible appearance of an intermediate K-semistable cone in Donaldson-Sun's 2-step degeneration theory. As a consequence, we establish a polynomial convergence rate result and a classification result for complete Calabi-Yau manifolds with Euclidean volume growth and quadratic curvature decay. Joint work with Song Sun.

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