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

Andrew Dancer, Jørgen Ellegaard Andersen, and Oscar García-Prada

Abstract

These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and Savilian Professor of Geometry at Oxford. The proceedings contain twenty-nine articles, including three by Fields medallists (Donaldson, Mori and Yau). The articles cover a wide range of topics in geometry and mathematical physics, including the following: Riemannian geometry, geometric analysis, special holonomy, integrable systems, dynamical systems, generalized complex structures, symplectic an ... More

Keywords: geometry, mathematical physics, algebraic geometry, moduli space, Higgs bundle

Bibliographic Information

Print publication date: 2018 Print ISBN-13: 9780198802020
Published to Oxford Scholarship Online: December 2018 DOI:10.1093/oso/9780198802020.001.0001

Authors

Affiliations are at time of print publication.

Andrew Dancer, editor
Professor of Mathematics, Mathematical Institute, Oxford University

Jørgen Ellegaard Andersen, editor
Professor of Mathematics, Aarhus University

Oscar García-Prada, editor
CSIC Research Professor, Consejo Superior de Investigaciones Cientificas

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Front Matter

Part II Volume II

14 Brauer Group of Moduli of Higgs Bundles and Connections

David Baraglia1 Indranil Biswas2 Laura P. Schaposnik3 1 School of Mathematical Sciences, The University of Adelaide, Adelaide SA 5005, Australia, Email: david.baraglia@adelaide.edu.au 2 School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India, Email: indranil@math.tifr.res.in 3 Department of Mathematics, University of Illinois, Chicago, IL 60607, USA and Freie Universität Berlin, 14195 Berlin, Germany, Email: schapos@illinois.edu

15 Classification of Boundary Lefschetz Fibrations over the Disc

Stefan Behrens1 Gil R. Cavalcanti2 Ralph L. Klaasse3 1 Stefan Behrens. Faculty of Mathematics, Bielefeld University, Universitßstrae 25, 33615 Bielefeld, Germany, E-mail address: sbehrens@math.uni-bielefeld.de 2 Gil R. Cavalcanti. Department of Mathematics, Utrecht University, 3508 TA Utrecht, The Netherlands, E-mail address: g.r.cavalcanti@uu.nl 3 Ralph L. Klaasse. Départment de Mathématique, Université Libre de Bruxelles, CP 218, Boulevard du Triomphe B-1050 Bruxelles, Belgique, E-mail address: rklaasse@ulb.ac.be

16 SL(∞,ℝ), Higgs Bundles and Quantization

Olivier Biquard, Sorbonne Université et École Normale Supérieure, UMR 8553 du CNRS

17 Wild Character Varieties, Meromorphic Hitchin Systems and Dynkin Diagrams

Philip Boalch, Mathématiques, Université Paris-Sud, 91405 Orsay, France, Europe Philip.Boalch@math.u-psud.fr

18 Irreducibility of Moduli of Semi-Stable Chains and Applications to U(p, q)-Higgs Bundles

Steven Bradlow1 Oscar García-Prada2 Peter Gothen3 Jochen Heinloth4 1 Department of Mathematics University of Illinois at Urbana-Champaign Office: 322 Illini Hall Mailing Address: 1409 W. Green Street Urbana, IL 61801, E-mail address: bradlow@illinois.edu 2 Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, calle Nicolás Cabrera, 15, Campus de Cantoblanco, 28049 Madrid, Spain, E-mail address: oscar.garcia-prada@icmat.es 3 Centro de Matemática da Universidade do Porto, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre, 4169-007 Porto, Portugal, E-mail address: pbgothen@fc.up.pt 4 Universität Duisburg–Essen, Fachbereich Mathematik, Universitätsstrasse 2, 45117 Essen, Germany, E-mail address: Jochen.Heinloth@uni-due.de

19 Various Generalizations and Deformations of PSL(2,ℝ) Surface Group Representations and their Higgs Bundles

Brian Collier, Department of Mathematics, University of Maryland, 4176 Campus Drive, College Park, MD 20742, Email: bcollie2@math.umd.edu

20 Restrictions of Heterotic G2 Structures and Instanton Connections

Xenia de la Ossa1 Magdalena Larfors2 Eirik E. Svanes3,4 1 Mathematical Institute, Oxford University, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG, UK, Email: delaossa@maths.ox.ac.uk 2 Department of Physics and Astronomy, Uppsala University, SE-751 20 Uppsala, Sweden, Email: magdalena.larfors@physics.uu.se 3 Sorbonne Universités, CNRS, LPTHE, UPMC Paris 06, UMR 7589, 75005 Paris, France, Email: esvanes@lpthe.jussieu.fr 4 Sorbonne Universités, Institut Lagrange de Paris, 98 bis Bd Arago, 75014 Paris, France

21 Mixing Flows on Moduli Spaces of Flat Bundles over Surfaces

Giovanni Forni, William M. Goldman, Department of Mathematics, University of Maryland, College Park, MD 20742 USA E-mail: Forni: gforni@math.umd.edu, Goldman: wmg@math.umd.edu

22 Involutions of Rank 2 Higgs Bundle Moduli Spaces

Oscar García-Prada1 S. Ramanan2 1 Instituto de Ciencias Matemáticas, CSIC, Nicolás Cabrera, 13–15, 28049 Madrid, Spain, Email: oscar.garcia-prada@icmat.es 2 Chennai Mathematical Institute, H1, SIPCOT IT Park, Siruseri, Kelambakkam 603103, India, Email: sramanan@cmi.ac.in

23 Generalized Kähler Metrics from Hamiltonian Deformations

Marco Gualtieri, Department of Mathematics, University of Toronto Email: mgualt@math.toronto.edu

24 Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties

Samuel Grushevsky1 Klaus Hulek2 Orsola Tommasi3 with an appendix by Mathieu Dutour Sikirić4 1 Mathematics Department, Stony Brook University, Stony Brook, NY 11790-3651, USA, Email: sam@math.stonybrook.edu 2 Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30060 Hannover, Germany, Email: hulek@math.uni-hannover.de 3 Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SE-412 96 Göteborg, Sweden, Email: orsola@chalmers.se 4 Rudjer Bosković Institute, Bijenicka 54, 10000 Zagreb, Croatia, Email: mathieu.dutour@gmail.com

25 Spectral Curves for the Triple Reduced Product of Coadjoint Orbits for SU(3)

Jacques Hurtubise1 Lisa Jeffrey2 Steven Rayan3 Paul Selick4 Jonathan Weitsman5 1 Department of Mathematics & Statistics, McGill University, Montréal, Québec, Canada Email: hurtubis@math.mcgill.ca 2 Department of Mathematics, University of Toronto, Toronto, Ontario, Canada Email: jeffrey@math.toronto.edu 3 Department of Mathematics & Statistics, University of Saskatchewan, Saskatoon, Saskatchewan, Canada Email: rayan@math.usask.ca 4 Department of Mathematics, University of Toronto, Toronto, Ontario, Canada Email: selick@math.toronto.edu 5 Department of Mathematics, Northeastern University, Boston, MA 02115, USA Email: j.weitsman@neu.edu

26 Threefold Extremal Contractions of Type (IIA)

Shigefumi Mori1,2 Yuri Prokhorov3,4,5 1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan 2 Kyoto University Institute for Advanced Study, Kyoto University, Kyoto, Japan Email: mori@kurims.kyoto-u.ac.jp 3 Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia 4 Department of Algebra, Moscow State Lomonosov University, Russia 5 National Research University Higher School of Economics, Russia Email: prokhoro@mi.ras.ru

27 Parabolic Higgs Bundles for Real Reductive Lie Groups

Ignasi Mundet i Riera, Facultat de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain

28 Holonomic Poisson Manifolds and Deformations of Elliptic Algebras

Brent Pym1 Travis Schedler2 1 School of Mathematics, University of Edinburgh, Email: brent.pym@ed.ac.uk 2 Department of Mathematics, Imperial College London, Email: t.schedler@imperial.ac.uk

29 An Explicit View of the Hitchin Fibration on the Betti Side for ℙ1 minus Five Points

Carlos T. Simpson, Université Côte d’Azur, CNRS, LJAD UMR 7351

End Matter