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SUMMARY:The Allen-Cahn construction of minimal hypersurfaces - Fritz Hiesm
 ayr (Cambridge)
DTSTART:20170428T140000Z
DTEND:20170428T150000Z
UID:TALK71254@talks.cam.ac.uk
CONTACT:36916
DESCRIPTION:The existence of embedded minimal hypersurfaces is a question 
 that eluded geometric analysts for the better part of the twentieth centur
 y\; it was eventually settled in 1981 via the so-called Almgren-Pitts cons
 truction. This construction on min-max arguments for a suitably enlarged s
 pace of hypersurfaces\, and relies on machinery from geometric measure the
 ory.\n\nMy talk will instead focus on a more recent approach to the proble
 m\, where one constructs minimal hypersurfaces that arise from the level s
 ets of solutions to an elliptic PDE\, called the Allen-Cahn equation. I wi
 ll present an overview of this theory that requires no prior knowledge of 
 geometric analysis.
LOCATION:MR13
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