Few humans have proved extra influential within the box of differential and algebraic geometry, and in exhibiting how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made primary contributions in parts as assorted as: spin geometry, instanton and monopole equations, twistor conception, symplectic geometry of moduli areas, integrables platforms, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, detailed Lagrangian geometry and reflect symmetry, concept of grebes, and plenty of more.

He was once formerly Rouse Ball Professor of arithmetic at Cambridge collage, in addition to Professor of arithmetic on the collage of Warwick, is a Fellow of the Royal Society and has been the President of the London Mathematical Society.

The chapters during this interesting quantity, written via a number of the greats of their fields (including 4 Fields Medalists), convey how Hitchin's principles have impacted on a wide selection of topics. The booklet grew out of the Geometry convention in Honour of Nigel Hitchin, held in Madrid, with a few extra contributions, and will be required analyzing for somebody looking insights into the overlap among geometry and physics.

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