Abstract:
Let (Z,p) be a Gromov-Hausdorff limit of a complete, polarized, non-collapsing sequence of Kähler-Einstein manifolds. If the germ at p is biholomorphic to the tangent cone at p, then the singular Kähler-Einstein metric on Z is asymptotic at p to the cone metric on the level of Kähler potential. When the tangent cone has isolated singularity at the vertex, we obtain polynomial convergence of the metric to its tangent cone, generalizing the work of Hein-Sun. A similar result also holds in certain cases when the germ is not isomorphic to the tangent cone. This is joint work with Gábor Székelyhidi.
Speaker:
Shih-Kai Chiu is currently a postdoc at the University of Oxford, where his mentor is Jason Lotay. He obtained his PhD at the University of Notre Dame in 2021 under the supervision of Gábor Székelyhidi.
Zoom:
https://us06web.zoom.us/j/87567979185?pwd=S3Z1QzhLSkpMOFdOSFVyOFRmUEdpZz09
ID: 875 6797 9185
Passcode: 624510
