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E-grāmata: Geometry and Physics: Volume 2: A Festschrift in honour of Nigel Hitchin

Edited by (Professor of Mathematics, Aarhus University), Edited by (CSIC Research Professor, Consejo Superior de Investigaciones Cientificas), Edited by (Professor of Mathematics, Mathematical Institute, Oxford University)
  • Formāts: 400 pages
  • Izdošanas datums: 18-Oct-2018
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780192522375
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  • Formāts: 400 pages
  • Izdošanas datums: 18-Oct-2018
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780192522375

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These texts contain 29 articles that 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

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.
14: David Baraglia (University of Adelaide), Indranil Biswas (Tata
Institute of Fundamental Research), Laura Schaposnik (University Illinois at
Chicago): Brauer group of moduli of Higgs bundles and connections
15: Stefan Behrens (Utrecht University), Gil Cavalcanti (Utrecht University),
Ralph Klaasse (Utrecht University): Classification of boundary Lefschetz
fibrations.
16: Olivier Biquard (École Normale Supérieure): SL(IF, R), Higgs bundles, and
quantization
17: Philip Boalch (Université Paris-Sud): Wild character varieties,
meromorphic Hitchin systems and Dynkin diagrams
18: Steven Bradlow (University of Illinois Urbana-Champaign), Oscar
Garcia-Prada (Institute of Mathematical Sciences), Peter Gothen (University
of Porto), Jochen Heinloth (University of Duisburg): Irreducibility of
moduli of semistable chains and applications to U(p,q)-bundles
19: Brian Collier (University of Maryland): Various generalisations and
deformations of PSL(2,R) surface group representations and their Higgs
bundles
20: Xenia de la Ossa (University of Oxford), Magdalena Larfors (Uppsala
University), Eirek Svanes (Sorbonne University, Lagrange Institute):
Restrictions of heterotic G 2 structures and instanton connections
21: Giovanni Forni and William Goldman (University of Maryland): Mixing Flows
on Moduli Spaces of Flat Bundles over Surfaces
22: Oscar Garcia-Prada (Institute of Mathematical Sciences, Spain),
Sundararaman Ramanan (Chennai Mathematical Institute): Involutions of rank 2
Higgs bundle moduli spaces
23: Marco Gualtieri (University of Toronto): Generalised Kahler metrics from
Hamiltonian deformations
24: Samuel Grushevsky (Mathematics Department, Stony Brook University),
Klaus Hulek (, Leibniz University at Hannover), Orsola Tommasi (Chalmers
University of Technology and the University of Gothenburg), Mathieu Dutour
Sikiric (Rudjer Boskovi? Institute): Stable Betti numbers of (partial)
toroidal compactifications of the moduli space of Abelian varieties
25: Jacques Hurtubise (, McGill University), Lisa Jeffrey (University of
Toronto), Steven Rayan (University of Saskatchewan), Paul Selick (University
of Toronto), Jonathan Weitsman (Northeastern University): Spectral curves for
the triple reduced product of coadjoint orbits for SU(3)
26: Shigefumi Mori (Research Institute for Mathematical Sciences, Kyoto
University), Yuri Prokhorov (Steklov Mathematical Institute of Russian
Academy of Sciences): Threefold extremal contractions of type (II A); part
II
27: Ignasi Mundet i Riera (Facultat de Matemįtiques i Informįtica,
Universitat de Barcelona): Parabolic Higgs bundles for real reductive Lie
groups: a very basic introduction
28: Brent Pym (University of Edinburgh), Travis Schedler (Imperial College
London): Holonomic Poisson manifolds and deformations of elliptic algebras
29: Carlos Simpson (Université Cōte d'Azur, CNRS): An explicit view of the
Hitchin fibration on the Betti side for P1 minus 5 points
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).