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BIMSA-BIT Differential Geometry Seminar
An epsilon regularity theorem for line bundle mean curvature flow
An epsilon regularity theorem for line bundle mean curvature flow
Organizers
Kotaro Kawai
, Chao Qian
Speaker
Hikaru Yamamoto
Time
Friday, October 27, 2023 11:00 AM - 12:00 PM
Venue
Online
Online
Zoom 928 682 9093
(BIMSA)
Abstract
The line bundle mean curvature flow was defined by A. Jacob and S.-T. Yau to obtain a deformed Hermitian Yang-Mills metric on a line bundle over a Kahler manifold. In this talk, I would like to explain an epsilon regularity theorem for the line bundle mean curvature flow. This is joint work with Xiaoli Han. To explain the outline of the proof, I would like to introduce a scale-invariant monotone quantity, a notion of self-shrinkers and the Liouville type theorem for those self-shrinkers.