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CATEGORIES:Rouse Ball Lectures
SUMMARY:The Geometry of Minimal Surfaces - Professor Blain
e Lawson\, Stony Brook University\, USA
DTSTART;TZID=Europe/London:20100521T120000
DTEND;TZID=Europe/London:20100521T130000
UID:TALK24128AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/24128
DESCRIPTION:A minimal surface in euclidean space is a surface
which is locally of least area (that is\, any pert
urbation on a small region will increase the area)
. These surfaces have captured the imagination of
geometers and analysts from Riemann and Weierstrau
ss to the present day\, where they have evolved to
become an important tool in modern geometric anal
ysis.\n\nThis lecture will give an introduction to
the basic geometry of minimal surfaces in R^{3
}. Several of the classical theorems will be
presented\, and a large number of interesting exam
ples (such as triply-periodic minimal surfaces) wi
ll be examined.\n\nIn the second part of the lectu
re I will discuss minimal surfaces in a more gener
al context. Examples will include compact minimal
surfaces of arbitrary genus in the euclidean 3-sph
ere S^{3}\, complex algebraic curves in co
mplex projective space\, and certain "calibrated"
subvarieties. The problem of finding area-minimizi
ng cycles in a given homology class will be discus
sed. I will then try to indicate the role played b
y minimal surfaces in modern geometry\, topology a
nd physics.
LOCATION:Cockcroft Lecture Theatre\, New Museums Site
CONTACT:
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