Geometric Analysis and Topology Seminar

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Free boundary minimal surfaces: advances and perspectives

Speaker: Alessandro Carlotto, University of Trento

Location: Warren Weaver Hall 512

Date: Friday, November 10, 2023, 11 a.m.

Synopsis:

I will try to describe some of the things we have learnt, over the past few years, about three fundamental questions in the global theory of free boundary minimal surfaces. In essence, I will discuss how to construct such surfaces and how to distinguish them by virtue of the fine analysis of their (equivariant or absolute) Morse index. As a byproduct, we will sketch a comparative picture of variational vs. perturbative methods, and indicate what is still to be understood in that direction.