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Algebraic K-theory
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301	CHAPTER VI THE HIGHER K-THEORY OF FIELDS The problem of computing the higher K-groups of fields has a rich history, beginning with Quillen’s calculation for finite fields (IV.1.13), and Borel’s calculation of K∗ ( Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-18 17:11:54 Algebraic number theory Galois theory Homological algebra Module theory Abelian group Algebraic number field Finite field Torsion Divisible group Abstract algebra Algebra Field theory
302	CHAPTER V THE FUNDAMENTAL THEOREMS OF HIGHER K-THEORY We now restrict our attention to exact categories and Waldhausen categories, where the extra structure enables us to use the following types of comparison theorems: Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-05 22:33:34 Homological algebra Algebraic topology Functors Homotopy theory Adjoint functors Exact functor Homotopy group Sheaf Morita equivalence Abstract algebra Algebra Topology
303	Corrections to “The K-book: an introduction to algebraic K-theory” by C. A. Weibel AMS Grad. Studies in Math. vol. 145, 2013 p.101 line -8: exp(1 − rn tn /n) should be exp(−rn tn /n) p.180 (II.9.4): ’If B is co Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2013-12-02 20:04:54 Ordinal number Order theory Cofinal Gregorian mode
304	INTRODUCTION Algebraic K-theory has two components: the classical theory which centers around the Grothendieck group K0 of a category and uses explicit algebraic presentations, and higher algebraic K-theory which requir Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2013-10-25 00:52:27 Algebraic K-theory K-theory Algebraic topology Sheaf Alexander Grothendieck Chern class Algebraic geometry Étale cohomology Grothendieck group Abstract algebra Algebra Homological algebra
305	CHAPTER IV DEFINITIONS OF HIGHER K-THEORY The higher algebraic K-groups of a ring R are defined to be the homotopy groups Kn (R) = πn K(R) of a certain topological space K(R), which we shall construct in Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-08-17 17:20:21 Algebraic topology Algebraic K-theory Homotopy category Homotopy group Whitehead theorem Out Homotopy Spectrum Classifying space Topology Abstract algebra Homotopy theory
306	CHAPTER I PROJECTIVE MODULES AND VECTOR BUNDLES The basic objects studied in algebraic K-theory are projective modules over a ring, and vector bundles over schemes. In this first chapter we introduce the cast Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-01 14:36:13 Ring theory Homological algebra Algebraic structures Commutative algebra Projective module Structure theorem for finitely generated modules over a principal ideal domain Module Commutative ring Torsion Abstract algebra Algebra Module theory
307	Lecture Notes in Mathematics A collection of informal reports and seminars Edited by A. Dold, Heidelberg and 6. Eckmann, Zurich Series: Forschungsinstitut f i r Mathematik, ETH, Zurich . Adviser: K. Chandrasekharar Goro Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:50:00 Mathematics Elliptic curve Group theory Modular form Algebraic number field Four-square cipher Classical cipher Abstract algebra Mathematical analysis Analytic number theory
308	Algebraic Reconstruction of Types and Eects Pierre Jouvelot1 2 David K. Giord2 ; Ecole des Mines de Paris1 Add to Reading List Source URL: www.psrg.lcs.mit.edu Language: English - Date: 2013-07-14 14:56:24 Data types Functional programming Computing Program analysis Type system Vehicle Identification Number Monad Type inference Type theory Software engineering Programming language theory
309	Content-Based Access to Algebraic Video Ron Weiss Andrzej Duda David K. Giord Programming Systems Research Group MIT Laboratory for Computer Science Add to Reading List Source URL: www.psrg.lcs.mit.edu Language: English - Date: 2013-07-14 14:56:23 Database Database theory
310	UNOBSTRUCTED MODULAR DEFORMATION PROBLEMS TOM WESTON Abstract. Let f be a newform of weight k ≥ 3 with Fourier coefficients in a Add to Reading List Source URL: www.math.umass.edu Language: English - Date: 2003-11-13 11:23:44 Representation theory of Lie groups Weight Modular form Algebraic number field Spectral theory of ordinary differential equations Symbol Abstract algebra Mathematical analysis Algebra

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