The Many Facets of Geometry: A Tribute to Nigel Hitchin
Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon
Abstract
Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry, instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more. He was previously ... More
Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry, instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more. He was previously Rouse Ball Professor of Mathematics at Cambridge University, as well as Professor of Mathematics at the University of Warwick, is a Fellow of the Royal Society and has been the President of the London Mathematical Society. The chapters in this book, written by some of the greats in their fields (including four Fields Medalists), show how Hitchin's ideas have impacted on a wide variety of subjects. The book grew out of the Geometry Conference in Honour of Nigel Hitchin, held in Madrid.
Keywords:
Nigel Hitchin,
spin geometry,
istanton equations,
monopole equations,
twister theory,
symplectic geometry,
integrables systems,
Higgs bundles,
Einstein metrics,
hyperkähler geometry
Bibliographic Information
| Print publication date: 2010 |
Print ISBN-13: 9780199534920 |
| Published to Oxford Scholarship Online: September 2010 |
DOI:10.1093/acprof:oso/9780199534920.001.0001 |
Authors
Affiliations are at time of print publication.
Oscar Garcia-Prada, editor
Instituto de Ciencias Matematicas, Consejo Superior de Investigaciones Cientificas, Madrid, Spain
Jean Pierre Bourguignon, editor
Institut des Hautes Etudes Scientifiques, France
Simon Salamon, editor
Dipartimento di Matematica, Politecnico de Torino, Italy
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