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The mathematical and philosophical l...

Panza, Marco.

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The mathematical and philosophical legacy of Alexander Grothendieck

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mathematical and philosophical legacy of Alexander Grothendieck/ edited by Marco Panza, Daniele C. Struppa, Jean-Jacques Szczeciniarz.
other author:	Panza, Marco.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvi, 512 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Geometry, Algebraic. -
Online resource:	https://doi.org/10.1007/978-3-031-68934-5
ISBN:	9783031689345

The mathematical and philosophical legacy of Alexander Grothendieck
The mathematical and philosophical legacy of Alexander Grothendieck[electronic resource] /edited by Marco Panza, Daniele C. Struppa, Jean-Jacques Szczeciniarz. - Cham :Springer Nature Switzerland :2025. - xvi, 512 p. :ill. (some col.), digital ;24 cm. - Chapman mathematical notes,3005-1517. - Chapman mathematical notes..

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.

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 influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference "Grothendieck, A Multifarious Giant" at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.

ISBN: 9783031689345

Standard No.: 10.1007/978-3-031-68934-5doiSubjects--Personal Names:

888569
Grothendieck, A.
Subjects--Topical Terms:

532048
Geometry, Algebraic.

LC Class. No.: QA564

Dewey Class. No.: 516.0092

The mathematical and philosophical legacy of Alexander Grothendieck
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520 $a 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 influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference "Grothendieck, A Multifarious Giant" at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.
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