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: Modern Birkhäuser Classics
- 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 II: P. Cartier; C. Contou-Carrère; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; Lé D.T.; D. Shelstad; and A. Voros.
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 II: P. Cartier; C. Contou-Carr?re; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; L? D.T.; D. Shelstad; and A. Voros.
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 II: P. Cartier; C. Contou-Carr?re; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; L? D.T.; D. Shelstad; and A. Voros.
Content:
Front Matter....Pages i-viii
Une nouvelle interpr?tation de la formule des traces de Selberg....Pages 1-67
Jacobiennes g?n?ralis?es globales relatives....Pages 69-109
Cat?gories tannakiennes....Pages 111-195
On The Adic Formalism....Pages 197-218
F-Isocrystals on Open Varieties Results and Conjectures....Pages 219-248
Repr?sentations p-adiques des corps locaux (1?re partie)....Pages 249-309
Rectified Homotopical Depth and Grothendieck Conjectures....Pages 311-351
Automorphisms of Pure Sphere Braid Groups and Galois Representations....Pages 353-373
Ordinarit? des intersections compl?tes g?n?rates....Pages 375-405
Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra....Pages 407-433
Euler Systems....Pages 435-483
Descent for Transfer Factors....Pages 485-563
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 II: P. Cartier; C. Contou-Carr?re; P. Deligne; T. Ekedahl; G. Faltings; J.-M. Fontaine; H. Hamm; Y. Ihara; L. Illusie; M. Kashiwara; V.A. Kolyvagin; R. Langlands; L? D.T.; D. Shelstad; and A. Voros.
Content:
Front Matter....Pages i-viii
Une nouvelle interpr?tation de la formule des traces de Selberg....Pages 1-67
Jacobiennes g?n?ralis?es globales relatives....Pages 69-109
Cat?gories tannakiennes....Pages 111-195
On The Adic Formalism....Pages 197-218
F-Isocrystals on Open Varieties Results and Conjectures....Pages 219-248
Repr?sentations p-adiques des corps locaux (1?re partie)....Pages 249-309
Rectified Homotopical Depth and Grothendieck Conjectures....Pages 311-351
Automorphisms of Pure Sphere Braid Groups and Galois Representations....Pages 353-373
Ordinarit? des intersections compl?tes g?n?rates....Pages 375-405
Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra....Pages 407-433
Euler Systems....Pages 435-483
Descent for Transfer Factors....Pages 485-563
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