## Algebraic K-Theory: Connections with Geometry and TopologyA NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic K-theory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the subject has become central to the study of the relationship between Topology, Algebraic Geometry and Number Theory. It draws on all of these fields as a subject in its own right, but it serves as well as an effective translator for the application of concepts from one field in another. The papers in this volume are representative of the current state of the subject. They are, for the most part, research papers which are primarily of interest to researchers in the field and to those aspiring to be such. There is a section on problems in this volume which should be of particular interest to students; it contains a discussion of the problems from Gersten's well-known list of 1973, as well as a short list of new problems. |

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### Contents

IV | 1 |

V | 29 |

VIII | 69 |

IX | 87 |

X | 103 |

XI | 117 |

XIII | 177 |

XV | 189 |

XVIII | 225 |

XX | 241 |

XXI | 343 |

XXII | 389 |

XXIII | 425 |

XXV | 445 |

XXVI | 509 |

XXVII | 517 |

### Other editions - View all

Algebraic K-Theory: Connections with Geometry and Topology John F. Jardine,V.P. Snaith Limited preview - 2012 |

Algebraic K-Theory: Connections with Geometry and Topology John F. Jardine,V.P. Snaith No preview available - 2014 |

Algebraic K-Theory: Connections with Geometry and Topology John F. Jardine,V. P. Snaith No preview available - 2014 |

### Common terms and phrases

additive Algebraic K-theory apply associated assume bundle canonical character characteristic closed coefficients cohomology commutative complex conjecture connected consider construction Corollary corresponding defined definition denote diagram differential dimension direct elements equal equivalence etale exact sequence example exists extension fact fibrant fibre field field F finite follows formula function functor Galois geometrically Geometry give given Hence Hilbert homo topy homomorphism induced injective integer isomorphism Lemma lines locally Math Mathematics module morphism natural Notes number field obtain presheaf prime problem projective Proof Proposition prove reduction relations Remark representations residue resp respectively restriction result ring satisfies scheme sheaf sheaves simplicial smooth space Spec spectral sequence split Springer subgroup Suppose Theorem theory Topology torsion trivial University variety weak zero

### Popular passages

Page 548 - Finite generation of the groups K. of rings of algebraic integers", in Springer Lecture Notes in Mathematics 1341(1973), 179-210.