In these graduate-level books, leading researchers explore various new notions of 'space' in mathematics and mathematical physicists.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Volume 1: Introduction Mathieu Anel and Gabriel Catren Part I. Differential geometry: 1. An Introduction to diffeology Patrick Iglesias-Zemmour 2. New methods for old spaces: synthetic differential geometry Anders Kock 3. Microlocal analysis and beyond Pierre Schapira Part II. Topology and algebraic topology: 4. Topo-logie Mathieu Anel and André Joyal 5. Spaces as infinity-groupoids Timothy Porter 6. Homotopy type theory: the logic of space Michael Shulman Part III. Algebraic geometry: 7. Sheaves and functors of points Michel Vaquié 8. Stacks Nicole Mestrano and Carlos Simpson 9. The geometry of ambiguity: an introduction to the ideas of derived geometry Mathieu Anel 10. Geometry in dg categories Maxim Kontsevich Volume 2: Introduction Mathieu Anel and Gabriel Catran Part I. Noncommutative and super-commutative geometries: 1. Noncommutative geometry, the spectral standpoint Alain Connes 2. The logic of quantum mechanics (revisited) Klaas Landsman 3. Supergeometry in mathematics and physics Mikhail Kapranov Part II. Symplectic geometry: 4. Derived stacks in symplectic geometry Damien Calaque 5. Higher prequantum geometry Urs Schreiber Part III. Spacetime: 6. Struggles with the continuum John C. Baez 7. Twistor theory: a geometric programme for describing the physical world Roger Penrose 8. Quantum geometry of space Muxin Han 9. Stringy geometry and emergent space Marcos Mariño.
Volume 1: Introduction Mathieu Anel and Gabriel Catren Part I. Differential geometry: 1. An Introduction to diffeology Patrick Iglesias-Zemmour 2. New methods for old spaces: synthetic differential geometry Anders Kock 3. Microlocal analysis and beyond Pierre Schapira Part II. Topology and algebraic topology: 4. Topo-logie Mathieu Anel and André Joyal 5. Spaces as infinity-groupoids Timothy Porter 6. Homotopy type theory: the logic of space Michael Shulman Part III. Algebraic geometry: 7. Sheaves and functors of points Michel Vaquié 8. Stacks Nicole Mestrano and Carlos Simpson 9. The geometry of ambiguity: an introduction to the ideas of derived geometry Mathieu Anel 10. Geometry in dg categories Maxim Kontsevich Volume 2: Introduction Mathieu Anel and Gabriel Catran Part I. Noncommutative and super-commutative geometries: 1. Noncommutative geometry, the spectral standpoint Alain Connes 2. The logic of quantum mechanics (revisited) Klaas Landsman 3. Supergeometry in mathematics and physics Mikhail Kapranov Part II. Symplectic geometry: 4. Derived stacks in symplectic geometry Damien Calaque 5. Higher prequantum geometry Urs Schreiber Part III. Spacetime: 6. Struggles with the continuum John C. Baez 7. Twistor theory: a geometric programme for describing the physical world Roger Penrose 8. Quantum geometry of space Muxin Han 9. Stringy geometry and emergent space Marcos Mariño.
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