The Mathematical and Philosophical Legacy of Alexander Grothendieck
Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influenc...
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| Další autoři: | , , |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
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Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Vydání: | 1st ed. 2025. |
| Edice: | Chapman Mathematical Notes,
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| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-3-031-68934-5 |
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Obsah:
- Preface
- Grothendieck's 40 Main Years (1949-1991)
- Grothendieck and Differential Equations
- The Birkho-Grothendieck Theorem
- In nite Products, Congruent Numbers
- The Enduring Legacy of Grothenedieck's Duality Theorem
- Conjectures and Counterexamples in Grothendieck's Work in Functional Analysis
- Tohoku 60 years after
- About Grothendieck Fibrations.-Grothendieck did not Believe in Universes, He believed in Topos and Schemes
- Motivating Motives
- My View on and Experience with Grothendieck's Anabelian Geometry
- Grothendieck's Use of Equality
- Towards a Geometry for Syntax
- Boolean Valued Models, Sheafifications, and Boolean Ultrapowers of Tychono Spaces
- Investigating De nability in Propositional Logic
- Grothendieck and Model Theory
- Context-Dependence and Descent Theory
- Grothendieck and Teichmüller Modular Spaces.