ISBN : 9780198802013
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.
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 (Universita 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 (Ecole 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): Deformation theory of Lie bialgebra properads
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