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Geometric Analysis Seminar

Free Boundary Minimal Surfaces in the Euclidean Three-Ball Close to Boundary

Speaker: Jiahua Zou from Brown University

Location:  Hill 705
Date & time: Tuesday, 04 April 2023 at 2:50PM - 3:50PM

Abstract: I will talk about the new construction of genus-zero free boundary minimal surfaces embedded in the unit ball in the Euclidean three-space which are compact and lie arbitrarily close to the boundary unit sphere with an arbitrarily large number of connected boundary components. They also provided an example of the extreme cases for the area of genus-zero free boundary minimal surfaces. The talk is based on the joint walk with Professor Nicolaos Kapouleas and Peter McGrath.