中科院数学与系统科学研究院
数学研究所
学术报告
几何研讨班
报告人：张俊升 博士 (University of California, Berkeley)
题 目：On complete Calabi-Yau metrics with Euclidean volume growth and quadratic curvature decay
时 间：2023.08.04（星期五），14:00-15:00
地 点：数学院南楼N913室
摘 要：We 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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