Ebook: The Grothendieck Festschrift: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
- Tags: Algebraic Geometry, Functional Analysis, Algebraic Topology, Number Theory, Category Theory Homological Algebra, K-Theory
- Series: Progress in Mathematics 88
- Year: 2007
- Publisher: Birkhäuser Basel
- Edition: 1
- 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 III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.-L. Verdier; V.A. Voevodsky; and Y.G. Zarhin.
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 III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.-L. Verdier; V.A. Voevodsky; and Y.G. Zarhin.
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 III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.-L. Verdier; V.A. Voevodsky; and Y.G. Zarhin.
Content:
Front Matter....Pages i-vii
Anneau de Grothendieck de la vari?t? de drapeaux....Pages 1-34
New Results on Weight-Two Motivic Cohomology....Pages 35-55
Symmetric Spaces over a Finite Field....Pages 57-81
Le th?or?me de positivit? de l’irr?gularit? pour les $ mathcal{D}_X $ -modules....Pages 83-132
The Convergent Topos in Characteristic p ....Pages 133-162
Finiteness Theorems and Hyperbolic Manifolds....Pages 163-178
p-groupes et r?duction semi-stable des courbes....Pages 179-197
Drawing Curves Over Number Fields....Pages 199-227
Sur les propri?t?s num?riques du dualisant relatif d’une surface arithm?thique....Pages 229-246
Higher Algebraic K-Theory of Schemes and of Derived Categories....Pages 247-435
Solitons elliptiques....Pages 437-480
Linear Simple Lie Algebras and Ranks of Operators....Pages 481-495
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 III: A. Lascoux; S. Lichtenbaum; G. Lusztig; Z. Mebkhout; A. Ogus; A.N. Parshin; M. Raynaud; G.B. Shabat; L. Szpiro; R. Thomason; A. Treibich; T.F. Trobaugh; J.-L. Verdier; V.A. Voevodsky; and Y.G. Zarhin.
Content:
Front Matter....Pages i-vii
Anneau de Grothendieck de la vari?t? de drapeaux....Pages 1-34
New Results on Weight-Two Motivic Cohomology....Pages 35-55
Symmetric Spaces over a Finite Field....Pages 57-81
Le th?or?me de positivit? de l’irr?gularit? pour les $ mathcal{D}_X $ -modules....Pages 83-132
The Convergent Topos in Characteristic p ....Pages 133-162
Finiteness Theorems and Hyperbolic Manifolds....Pages 163-178
p-groupes et r?duction semi-stable des courbes....Pages 179-197
Drawing Curves Over Number Fields....Pages 199-227
Sur les propri?t?s num?riques du dualisant relatif d’une surface arithm?thique....Pages 229-246
Higher Algebraic K-Theory of Schemes and of Derived Categories....Pages 247-435
Solitons elliptiques....Pages 437-480
Linear Simple Lie Algebras and Ranks of Operators....Pages 481-495
....