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SUMMARY:Regularity of Minimal Surfaces - Sidney Stanbury\, University of C
 ambridge
DTSTART:20251024T150000Z
DTEND:20251024T160000Z
UID:TALK234838@talks.cam.ac.uk
CONTACT:Xuanchun Lu
DESCRIPTION:In the late 19th century\, the physicist Plateau conducted exp
 eriments where he submersed copper wires of various shapes in a soap solut
 ion to produce soap films spanning the wire. These experiments were done i
 n pursuit of understanding the following natural question posed by Lagrang
 e a century prior:  "given a fixed boundary\, does there exist a surface m
 inimizing area amongst all surfaces spanning the boundary?" It was only in
  the 1970s that a robust mathematical framework was developed to settle th
 is question of existence and regularity of area minimizing surfaces. In th
 is talk\, we aim to discuss the fundamental ideas of this framework\, call
 ed Geometric Measure Theory\, towards an understanding of the structure of
  the singularities of area minimizing and minimal surfaces. 
LOCATION:MR13
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