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SUMMARY:Singularities of Minimal Surfaces - Spencer Hughes ( University of
  Cambridge)
DTSTART:20130220T160000Z
DTEND:20130220T170000Z
UID:TALK43261@talks.cam.ac.uk
CONTACT:Luca Calatroni
DESCRIPTION:The problem of the regularity of minimal surfaces was one of t
 he main driving forces behind the development of geometric measure theory 
 and was\, via De Giorgi\, partly responsible for the development of ellipt
 ic regularity theory. The main part of this talk will discuss the regulari
 ty theory of minimal submanifolds via the notion of stationary\, integral 
 varifolds. These objects form an important class of very weakly defined\, 
 'low-regularity' minimal surfaces and were introduced in their modern form
  by Allard in the early 70's. Going via a description of Allard's Regulari
 ty Theorem\, we will build towards a discussion of some new work-in-progre
 ss.\n\nThis talk is intended to be accessible and will begin with the defi
 nition of a Minimal Submanifold of Euclidean space as a stationary point o
 f the area functional.
LOCATION:MR14\, Centre for Mathematical Sciences
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