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NCTS Differential Geometry Seminar
 
20:00 - 21:00, April 17, 2024 (Wednesday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Minimal Hypersurfaces: Bubble Convergence and Index
Myles Workman (University College London)

Abstract
The regularity theories of Schoen--Simon--Yau and Schoen--Simon for stable minimal hypersurfaces are foundational in geometric analysis. Using this regularity theory, in low dimensions, Chodosh--Ketover--Maximo and Buzano--Sharp studied singularity formation in sequences of minimal hypersurfaces through a bubble analysis.
 
I will review this background, before talking about my recent work in this bubble analysis theory. In particular I will show how to obtain upper semicontinuity of index plus nullity along a bubble converging sequence of minimal hypersurfaces.
 
Meeting number (access code): 2519 138 9695
Meeting password: ZMtSMaPC786 
 
Organizers: Nicolau Sarquis Aiex (NTNU), Chung-Jun Tsai (NTU), Siao-Hao Guo (NTU)


 

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