Manchester Geometry Seminar - Nicolas Manrique
| Dates: | 9 May 2024 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Nicolas Manrique (Imperial College)
Title: A non-linear spectrum for the Plateau problem
Abstract:
The production of minimal surfaces by min-max methods has seen immense progress in the past decade, culminating in the resolution by Song of Yau’s conjecture on the existence of infinitely many closed minimal surfaces in any closed manifold. Central to these arguments is the notion of a volume spectrum, a non-linear analogue of the usual Laplacian spectrum which records the volume of certain minimal surfaces in the manifold. One can also ask Yau’s question for closed minimal surfaces lying in a fixed homology class, or for minimal surfaces with prescribed boundary. In this talk we will describe an approach to these latter problems via the theory of phase transitions, and describe some properties and specific cases of the spectra which arise.
Travel and Contact Information
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Frank Adams Room 1
Alan Turing Building
Manchester
