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

ISBN : 9780198802020

Andrew Dancer; Jorgen Ellegaard Andersen; Oscar Garcia-Prada
400 ページ
163 x 237 mm

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 Olivier Biquard (Ecole Normale Superieure): Classification of boundary Lefschetz fibrations.
16 Stefan Behrens (Utrecht University), Gil Cavalcanti (Utrecht University), Ralph Klaasse (Utrecht University): SL(IF, R), Higgs bundles, and quantization
17 Philip Boalch (Universite Paris-Sud): Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams
18 SSteven 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 Matematiques i Informatica, 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 (Universite Cote d'Azur, CNRS): An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points