数学科学研究所
Insitute of Mathematical Science

Seminar: On complete Calabi-Yau metrics with Euclidean volume growth and quadratic curvature decay

Seminar| Institute of Mathematical Sciences

Time: FridayJuly 14th, 2023 , 15:00-16:00

Location:IMS, RS408
Speaker:  Junsheng Zhang, UC Berkeley

AbstractWe eliminate the possible appearance of an  intermediate  K-semistable cone in the 2-step degeneration theory developed by Donaldson-Sun. It is in sharp contrast to the setting of local singularities of Kähler-Einstein metrics. A byproduct of the proof is a polynomial convergence rate to the asymptotic cone for Calabi-Yau manifolds asymptotic to cones, which bridges the gap between the general theory of Colding-Minicozzi and the classification results of Conlon-Hein. This is a joint work with Song Sun.


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