|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
The Geometry of Minimal Surfaces
If you have a question about this talk, please contact nobody.
A minimal surface in euclidean space is a surface which is locally of least area (that is, any perturbation on a small region will increase the area). These surfaces have captured the imagination of geometers and analysts from Riemann and Weierstrauss to the present day, where they have evolved to become an important tool in modern geometric analysis.
This lecture will give an introduction to the basic geometry of minimal surfaces in R3. Several of the classical theorems will be presented, and a large number of interesting examples (such as triply-periodic minimal surfaces) will be examined.
In the second part of the lecture I will discuss minimal surfaces in a more general context. Examples will include compact minimal surfaces of arbitrary genus in the euclidean 3-sphere S3, complex algebraic curves in complex projective space, and certain “calibrated” subvarieties. The problem of finding area-minimizing cycles in a given homology class will be discussed. I will then try to indicate the role played by minimal surfaces in modern geometry, topology and physics.
This talk is part of the Rouse Ball Lectures series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsCU Underwater Exploration Group Lucy Cavendish College Special Seminar
Other talksWhat is to be done about community violence? Divergent Cities? Why do cities differ in growth and performance? Conference On the origin of animals, and the intervention of the modern biosphere Counting the Cost of Drink in Britain, 1830-1918 Café Synthetique - Tips and Tricks with CRISPR Construction of efficient experimental designs under resource constraints