Ebook: The Grothendieck Festschrift: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
- Series: Modern Birkhäuser Classics
- Year: 2007
- Publisher: Birkhäuser Boston
- Language: English-French
- pdf
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of 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.
CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.-M. Bismut; S. Bloch; L. Breen; J.-L. Brylinski; J. Dieudonné; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soulé; J. Tate; M. van den Bergh; and A.N. Varchenko.
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of 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.
CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.-M. Bismut; S. Bloch; L. Breen; J.-L. Brylinski; J. Dieudonn?; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soul?; J. Tate; M. van den Bergh; and A.N. Varchenko.
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of 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.
CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.-M. Bismut; S. Bloch; L. Breen; J.-L. Brylinski; J. Dieudonn?; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soul?; J. Tate; M. van den Bergh; and A.N. Varchenko.
Content:
Front Matter....Pages i-xx
De L’Analyse Fonctionnelle aux Fondements de la G?om?trie Alg?brique....Pages 1-14
The presentation functor and the compactifled Jacobian....Pages 15-32
Some Algebras Associated to Automorphisms of Elliptic Curves....Pages 33-85
Cohomology of a Moduli Space of Vector Bundles....Pages 87-120
Sur les hypersurfaces dont les sections hyperplanes sont `module constant....Pages 121-133
Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane....Pages 135-172
Th?orie de Dieudonn? cristalline III: th?or?mes d’?quivalence et de pleine fid?lit?....Pages 173-247
Complex Immersions and Arakelov Geometry....Pages 249-331
L-Functions and Tamagawa Numbers of Motives....Pages 333-400
Bitorseurs et Cohomologie Non Ab?lienne....Pages 401-476
Non-commutative Ruelle-Sullivan type currents....Pages 477-498
The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of 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.
CONTRIBUTORS to Volume I: A. Altman; M. Artin; V. Balaji; A. Beauville; A.A. Beilinson; P. Berthelot; J.-M. Bismut; S. Bloch; L. Breen; J.-L. Brylinski; J. Dieudonn?; H. Gillet; A.B. Goncharov; K. Kato; S. Kleiman; W. Messing; V.V. Schechtman; C.S. Seshadri; C. Soul?; J. Tate; M. van den Bergh; and A.N. Varchenko.
Content:
Front Matter....Pages i-xx
De L’Analyse Fonctionnelle aux Fondements de la G?om?trie Alg?brique....Pages 1-14
The presentation functor and the compactifled Jacobian....Pages 15-32
Some Algebras Associated to Automorphisms of Elliptic Curves....Pages 33-85
Cohomology of a Moduli Space of Vector Bundles....Pages 87-120
Sur les hypersurfaces dont les sections hyperplanes sont `module constant....Pages 121-133
Aomoto Dilogarithms, Mixed Hodge Structures and Motivic Cohomology of Pairs of Triangles on the Plane....Pages 135-172
Th?orie de Dieudonn? cristalline III: th?or?mes d’?quivalence et de pleine fid?lit?....Pages 173-247
Complex Immersions and Arakelov Geometry....Pages 249-331
L-Functions and Tamagawa Numbers of Motives....Pages 333-400
Bitorseurs et Cohomologie Non Ab?lienne....Pages 401-476
Non-commutative Ruelle-Sullivan type currents....Pages 477-498
....