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The Many Facets of GeometryA Tribute to Nigel Hitchin$
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Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon

Print publication date: 2010

Print ISBN-13: 9780199534920

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199534920.001.0001

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Geometry and Physics: A Personal View

Geometry and Physics: A Personal View

Chapter:
(p.1) I Geometry and Physics: A Personal View
Source:
The Many Facets of Geometry
Author(s):

Nigel Hitchin

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199534920.003.0001

This chapter presents Nigel Hitchin's recollections about the themes that emerged in his own mathematical development. The aim is to explain how the links between physics and geometry, which seem to underlie much of Nigel Hitchin's work, came about. Hitchin's claims that it is specific problems that have engaged him in research projects, and that theoretical physics is perhaps the richest source of these. He has generally sought to learn about an area of mathematics by seeing how it impinges on a particular problem. So progress this way requires an ever-changing source of mathematical challenges, of the sort that string theory seems to provide in abundance. This is one of the reasons for the currently active interface between geometry and physics.

Keywords:   Nigel Hitchin, mathematical development, physics, geometry

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