Different Faces of Geometry (eBook, PDF)

Redaktion: Donaldson, Simon; Gromov, Misha; Eliashberg, Yakov

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 404
• Erscheinungstermin: 11. April 2006
• Englisch
• ISBN-13: 9780306486586
• Artikelnr.: 44176086

Autorenporträt

Simon Donaldson gained a BA from Cambridge in 1979. In 1980 he began graduate work in Oxford, supervised by Nigel Hitchin and Sir Michael Atiyah. His PhD thesis studied mathematical aspects of Yang-Mills theory. In 1986, aged 29, he was awarded a Fields Medal and was elected to the Royal Society. He was Wallis Professor of Mathematics in Oxford between 1985 and 1998 when he moved to Imperial College London. Most of his work since has been on the interface between differential geometry and complex algebraic geometry. The recipient of numerous awards, including the Shaw Prize in 2009 with Clifford Taubes, he is also a Foreign Member of the US, French & Swedish academies. Donaldson has supervised more than 40 doctoral students, many of whom have gone on to become leading figures in research.

Inhaltsangabe

Refined Seiberg-Witten Invariants.- 3-Dimensional Methods in Contact Geometry.- Asymptotic Convex Geometry Short Overview.- Singularities of Special Lagrangian Submanifolds.- Curvature Functionals, Optimal Metrics, and the Differential Topology of 4-Manifolds.- Amoebas of Algebraic Varieties and Tropical Geometry.- Heegaard Diagrams and Holomorphic Disks.- Exact Lagrangian Submanifolds in T*Sn and the Graded Kronecker Quiver.- The Construction Problem in Kähler Geometry.