The Grothendieck Festschrift, Volume I
The Grothendieck Festschrift, Volume I

Author: Pierre Cartier

Publisher: Springer Science & Business Media

Published: 2009-05-21

Total Pages: 514

ISBN-13: 0817645748

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This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.

The Grothendieck Festschrift, Volume III
The Grothendieck Festschrift, Volume III

Author: Pierre Cartier

Publisher: Springer

Published: 2007-10-23

Total Pages: 499

ISBN-13: 0817645764

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This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.

The Grothendieck Festschrift
The Grothendieck Festschrift

Author: Pierre Cartierluc Illusie

Publisher:

Published: 2007

Total Pages: 572

ISBN-13: 9781283250771

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This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck's own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theo.

The Grothendieck Festschrift, Volume II
The Grothendieck Festschrift, Volume II

Author: Pierre Cartier

Publisher: Springer Science & Business Media

Published: 2007-06-25

Total Pages: 564

ISBN-13: 0817645756

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This three-volume work contains articles collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top-notch contributors match the breadth of Grothendieck’s own interests, including: functional analysis, algebraic geometry, algebraic topology, number theory, representation theory, K-theory, category theory, and homological algebra.

New Spaces in Mathematics: Volume 1
New Spaces in Mathematics: Volume 1

Author: Mathieu Anel

Publisher: Cambridge University Press

Published: 2021-04-01

Total Pages: 602

ISBN-13: 1108848214

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After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines.

A Tribute to C.S. Seshadri
A Tribute to C.S. Seshadri

Author: Venkatrama Lakshmibai

Publisher: Springer Science & Business Media

Published: 2003-07-24

Total Pages: 598

ISBN-13: 9783764304447

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C.S. Seshadri turned seventy on the 29th of February, 2002. To mark this occasion, a symposium was held in Chennai, India, where some of his colleagues gave expository talks highlighting Seshadri's contributions to mathematics. This volume includes expanded texts of these talks as well as research and expository papers on geometry and representation theory. It will serve as an excellent reference for researchers and students in these areas.

Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform
Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform

Author: Reinhardt Kiehl

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 382

ISBN-13: 3662045761

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The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.