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14:15
Uniqueness of free-boundary minimal annuli
Abstract
A recurring theme in differential geometry is understanding when a set of geometric conditions uniquely characterizes an object. In this talk, I will discuss this question for minimal surfaces in the unit ball, focusing on those meeting the boundary orthogonally. I will explain recent joint work with Jonathan Zhu in which we prove that every properly embedded, free-boundary, minimal annulus is congruent to the critical catenoid. I will also describe closely related results for axially symmetric Alt-Caffarelli cones and free-boundary minimal annuli in spherical caps, and discuss connections with other uniqueness results in differential geometry.
As you may know, the University of Dundee plans to withdraw standalone undergraduate mathematics provision. The Edinburgh Mathematical Society and the London Mathematical Society have written an open letter asking them to reverse the decision.
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Image: M. C. Escher - Relativity