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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1 Boundary Value Problems for the Lorentzian Dirac Operator |
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3 | (16) |
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2 Torsion of Elliptic Curves and Unlikely Intersections |
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19 | (20) |
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3 Algebras of Quantum Monodromy Data and Character Varieties |
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39 | (30) |
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4 The Deformed Hermitian-Yang-Mills Equation in Geometry and Physics |
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69 | (22) |
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5 Quaternionic Geometry in Dimension 8 |
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91 | (24) |
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6 Boundary Value Problems in Dimensions 7,4 and 3 Related to Exceptional Holonomy |
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115 | (20) |
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7 A Hitchin Connection for a Large Class of Families of Kahler Structures |
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135 | (28) |
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Jergen Ellegaard Andersen |
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8 The Taub-NUT Ambitoric Structure |
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163 | (26) |
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9 Mirror Symmetry with Branes by Equivariant Verlinde Formulas |
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189 | (30) |
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10 Deformation Theory of Lie Bialgebra Properads |
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219 | (30) |
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11 Vertex Algebras and 4-Manifold Invariants |
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249 | (70) |
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12 Hyperfunctions, the Duistermaat-Heckman Theorem and Loop Groups |
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319 | (28) |
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13 Quantization of the Quantum Hitchin System and the Real Geometric Langlands Correspondence |
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347 | (40) |
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14 Brauer Group of Moduli of Higgs Bundles and Connections |
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387 | (12) |
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15 Classification ofBoundaryLefschetz Fibrations over the Disc |
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399 | (20) |
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16 SL (∞, R), Higgs Bundles and Quantization |
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419 | (14) |
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17 Wild Character Varieties, Meromorphic Hitchin systems and Dynkin Diagrams |
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433 | (22) |
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18 Irreducibility of Moduli of Semi-Stable Chains and Applications to U(p,q)-Higgs Bundles |
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455 | (16) |
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19 Various Generalizations and Deformations of PSL(2, E) Surface Group Representations and their Higgs Bundles |
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471 | (32) |
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20 Restrictions of Heterotic G2 Structures and Instanton Connections |
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503 | (16) |
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21 Mixing Flows on Moduli Spaces of Flat Bundles over Surfaces |
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519 | (16) |
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22 Involutions of Rank 2 Higgs Bundle Moduli Spaces |
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535 | (16) |
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23 Generalized Kahler Metrics from Hamiltonian Deformations |
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551 | (30) |
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24 Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties |
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581 | (30) |
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25 Spectral Curves for the Triple Reduced Product of Coadjoint Orbits for SU(3) |
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611 | (12) |
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26 Threefold Extremal Contractions of Type (IIA) |
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623 | (30) |
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27 Parabolic Higgs Bundles for Real Reductive Lie groups |
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653 | (28) |
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28 Holonomic Poisson Manifolds and Deformations of Elliptic Algebras |
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681 | (24) |
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29 An Explicit View of the Hitchin Fibration on the Betti Side for P1 minus Five Points |
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Jųrgen Ellegaard Andersen obtained a DPhil in Mathematics from University of Oxford in 1992 and held assistant professor positions at University of California Berkeley and Aarhus University as well as general memberships at MSRI before obtaining a tenured position at Aarhus University in 1997. After being Clay Professor at University of California Berkeley, he became Professor of Mathematics at Aarhus University and he currently holds a Distinguished Visiting Professorship at California Institute of Technology. He is also Director of the Danish National Research Foundation Center of Excellence, Center for Quantum Geometry of Moduli Spaces (QGM) at Aarhus University.
Andrew Dancer took the degrees of BA and DPhil at Oxford University, and held postdoctoral fellowships at Cambridge, the Max-Planck-Institut, and IHES, before becoming a faculty member at McMaster University in Canada. He is now Professor of Mathematics at Oxford University and a Fellow of Jesus College.
Oscar Garcķa-Prada is a CSIC Research Professor at Instituto de Ciencias Matemįticas ICMAT, Madrid. He obtained a D.Phil. in Mathematics at the University of Oxford in 1991, and had postdoctoral appointments at Institut des Hautes Études Scientific (Paris), University of California at Berkeley, and University of Paris-Sud, before holding positions at University Autónoma of Madrid and École Polytéchnique (Paris). In 2002 he joined the Spanish National Research Council (CSIC).
