Academics

Bubbling of Kahler-Einstein metrics: examples and conjectures

Time:2023-12-5, Tuesday 21:00 - 22:00

Venue:Zoom Meeting ID: 271 534 5558 Passcode: YMSC

Organizer:Jialong Deng, Akito Futaki

Speaker:Martin de Borbon Loughborough University

Zoom link:

https://us06web.zoom.us/j/2715345558?pwd=eXRTTExpOVg4ODFYellsNXZVVlZvQT09


Abstract:

I will report on joint work with Cristiano Spotti. Chi Li's theory of normalized volumes permits the algebraic determination of tangent cones of singular Kahler-Einstein metrics. The general principle is to extend this to the dynamic setting of families and determine all possible rescaled limits using algebraic geometry. I will discuss examples in low dimensions, including polyhedral metrics on the sphere and Kahler-Einstein metrics on complex surfaces with cone singularities along curves.

DATEDecember 5, 2023
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