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    Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin

    Geometry and Physics: Volume I by Ellegaard Andersen, J--rgen; Dancer, Andrew; Garc--a-Prada, Oscar;

    A Festschrift in honour of Nigel Hitchin

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    Product details:

    • Publisher OUP Oxford
    • Date of Publication 1 November 2018

    • ISBN 9780198802013
    • Binding Hardback
    • No. of pages388 pages
    • Size 237x163x26 mm
    • Weight 806 g
    • Language English
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    Short description:

    These texts contain 29 articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics

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    Long description:

    Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics.

    These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

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    Table of Contents:

    Boundary value problems for the Lorentzian Dirac operator
    Torsion of elliptic curves and unlikely intersections
    Algebras of quantum monodromy data and character varieties
    The deformed Hermitian Yang-Mills equation in geometry and physics
    Quaternionic geometry in dimension 8
    Boundary value problems in dimensions seven, four and three related to exceptional holonomy.
    A Hitchin connection for a large class of families of Kahler structures
    The Taub-NUT ambitoric structure
    Mirror symmetry with branes by equivariant Verlinde formulae
    Deformation theory of Lie bialgebra properads
    Vertex algebras and 4-manifold invariants
    Hyperfunctions, the Duistermaat-Heckman theorem and loop groups
    Quantisation of the quantum Hitchin system and the real geometric Langlands correspondence

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