Speaker: 

Junsheng Zhang

Institution: 

UC Berkeley

Time: 

Tuesday, November 14, 2023 - 4:00pm to 5:00pm

Host: 

Location: 

ISEB 1200

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 the 2-step degeneration theory developed by Donaldson-Sun. As a consequence, a classification result for complete Calabi-Yau manifolds with Euclidean volume growth and quadratic curvature decay is given. Moreover a byproduct of the proof is a polynomial convergence rate  to the asymptotic cone for such manifolds. Joint work with Song Sun.