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PDE analysis on stable minimal hypersurfaces

Introductory Workshop: Special Geometric Structures and Analysis September 03, 2024 - September 06, 2024

September 04, 2024 (11:00 AM PDT - 12:30 PM PDT)
Speaker(s): Costante Bellettini (University College London)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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PDE analysis on stable minimal hypersurfaces

Abstract

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We will review classical estimates for elliptic PDEs, and the notions of stability and minimality for hypersurfaces. The interplay among these aspects underlies a vast number of geometric results, via the regularity and compactness theory for stable minimal hypersurfaces. We will discuss recent progress and open questions.

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PDE analysis on stable minimal hypersurfaces

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