Geometry and Physics: Two-Volume Pack

A Festschrift in Honour of Nigel Hitchin
Erscheinungsjahr 2018
ISBN: 978-0-19-880200-6
Verlag: Hurst & Co.

Buch, Englisch, 752 Seiten, Format (B × H): 165 mm x 239 mm, Gewicht: 1565 g

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.

Autoren/Hrsg.

Ellegaard Andersen, Jørgen

Dancer, Andrew

García-Prada, Oscar

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

- 1: Christian Bar (Potsdam University), Sebastian Hannes (Potsdam University): Boundary value problems for the Lorentzian Dirac operator

- 2: Fedor Bogomolov (Courant Institute of Mathematical Sciences, NYU), Hang Fu (Courant Institute of Mathematical Sciences, NYU), Yuri Tschinkel (Courant Institute of Mathematical Sciences, NYU): Torsion of elliptic curves and unlikely intersections

- 3: Leonid Chekhov (Steklov Mathematical Institute of Russian Academy of Sciences and Laboratoire Poncelet), Marta Mazzocco (Loughborough University), Vladimir Rubtsov (University of Angers and ITEP, Moscow): Algebras of quantum monodromy data and character varieties

- 4: Tristan Collins (Harvard University), Dan Xie (Harvard University), Shing-Tung Yau (Harvard University): The deformed Hermitian Yang-Mills equation in geometry and physics

- 5: Diego Conti (Università di Milano), Thomas Bruun Madsen (Aarhus University), Simon Salamon (King's College London): Quaternionic geometry in dimension 8

- 6: Simon Donaldson (Imperial and Simons Center, Stony Brook): Boundary value problems in dimensions seven, four and three related to exceptional holonomy.

- 7: Jorgen Ellegaard Andersen (Aarhus University), Kenneth Rasmussen (Aarhus University): A Hitchin connection for a large class of families of Kahler structures

- 8: Paul Gauduchon (École Polytechnique): The Taub-NUT ambitoric structure

- 9: Tamas Hausel (Institute of Science and Technology Austria), Anton Mellit (Institute of Science and Technology Austria), Du Pei (Aarhus University and Caltech): Mirror symmetry with branes by equivariant Verlinde formulae

- 10: Sergei Merkulov (University of Luxembourg), Thomas Willwacher (ETH Zurich): Deformation theory of Lie bialgebra properads

- 11: Mykola Dedushenko (Caltech), Sergei Gukov (Caltech), Pavel Putrov (Institute for Advanced Study, Princeton): Vertex algebras and 4-manifold invariants

- 12: Lisa Jeffrey (University of Toronto), James Mracek (University of Toronto): Hyperfunctions, the Duistermaat-Heckman theorem and loop groups

- 13: Jorg Teschner (University of Hamburg): Quantisation of the quantum Hitchin system and the real geometric Langlands correspondence

- 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(8, 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 (Faculty of Mathematics and Computing, University of 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 Côte d'Azur, CNRS): An explicit view of the Hitchin fibration on the Betti side for P1 minus 5 points

Über Autor(innen)

Jørgen 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 García-Prada is a CSIC Research Professor at Instituto de Ciencias Matemáticas 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).