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Calibrated Geometry

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  • UserKim Moore (Cambridge)
  • ClockFriday 27 May 2016, 15:00-16:00
  • HouseMR13.

If you have a question about this talk, please contact Christian Lund.

The seminal paper of Harvey and Lawson ‘Calibrated Geometries’ was published in the early 1980s. Motivated by Kähler manifolds (a certain class of complex manifold) they define what it means to be a calibrated submanifold, which has the desirable property of being volume minimising in its homology class. With links to special holonomy and complex geometry and also such physical theories as string theory and M-theory, the field has received much attention from mathematicians over the years.

In this talk I hope to introduce you to calibrated geometry, with motivating examples. Time permitting, I will go on to discuss some highlights of work in the field, and perhaps talk briefly about my own research.

This talk is part of the Junior Geometry Seminar series.

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