 |
Derived geometry. |
Mathieu Anel (CNRS, SPHERE, ERC Philosophie de la Gravitation Quantique Canonique) |
 |
Schemes. |
Pierre Cartier Institut des Hautes Etudes Scientifiques |
 |
Homological decomposition and motives. |
Denis-Charles Cisinski Institut de Mathématiques de Toulouse) |
 |
Diffeologies. |
Patrick Iglesias-Zemmour (Institut de Mathématiques de Marseille, CNRS) |
 |
Geometric aspects of topos theory in relation with logical doctrines. |
André Joyal Université du Québec à Montréal) |
 |
Super-geometry. |
Mikhail Kapranov (Kavli Institute for the Physics and Mathematics of the Universe, Tokyo)
|
 |
Synthetic differential geometry – new methods for old spaces.
|
Anders Kock (Aarhus University) |
 |
Geometry in triangulated categories. |
Maxim Kontsevich (Institut des Hautes Etudes Scientifiques) |
 |
Quantum differential geometry. |
Shahn Majid (Queen Mary University of London, School of Mathematical Sciences) |
 |
Stringy geometry and emergent space. |
Marcos Mariño (Université de Genève) |
 |
Twistor theory. |
Roger Penrose (University of Oxford) |
 |
Spaces as infinity-groupoids. |
Timothy Porter (University of Wales, Bangor) |
 |
Lie (or differentiable) groupoids. |
Jean Pradines (Université Paul Sabatier, Toulouse) |
 |
Spin networks and spinfoams. |
Hanno Sahlmann (University of Erlangen-Nürnberg) |
 |
Higher pre-quantized geometry. |
Urs Schreiber (Eduard Čech Institute for Algebra, Geometry and Physics, Prague) |
 |
Stacks and the Artin Property. |
Carlos Simpson (Laboratoire J.A. Dieudonné, Université de Nice) |
 |
Sheaves and funtors of points. |
Michel Vaquié (Institut de Mathématiques de Toulouse) |