Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Free boundary minimal surfaces: existence and regularity
Free boundary minimal surfaces are critical points to the area functional with respect to boundary-preserving deformations. Apart from being a natural Neumann boundary value problem for minimal surfaces, these objects also arise in many other geometric problems like the extremal Steklov eigenvalue problem studied in the celebrated work of Fraser and Schoen. In this talk, I will discuss the question of existence and regularity for free boundary minimal surfaces, focusing in particular on certain min-max constructions where tools from geometric measure theory play a major role.
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