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