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Homological algebra
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661	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
662	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
663	CHAPTER II THE GROTHENDIECK GROUP K0 There are several ways to construct the “Grothendieck group” of a mathematical object. We begin with the group completion version, because it has been the most Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-20 13:51:22 Ring theory Module theory Homological algebra Commutative algebra Grothendieck group Monoid Projective module Module Torsion Abstract algebra Algebra Algebraic structures
664	ARIZONA WINTER SCHOOL 2014 COURSE NOTES: GEOMETRIC ANALYTIC NUMBER THEORY JORDAN S. ELLENBERG 1. What is geometric analytic number theory? First of all: Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-28 19:09:15 Cohomology theories Algebraic number theory Field theory Algebraic geometry Cohomology Étale cohomology Group cohomology Finite field Polynomial Abstract algebra Algebra Homological algebra
665	ARIZONA WINTER SCHOOL 2014 COURSE OUTLINE: GEOMETRIC ANALYTIC NUMBER THEORY JORDAN S. ELLENBERG The main theme of the course will be the interplay between • arithmetic statistics over function fields of curves; and Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Homological algebra Cohomology theories Homology theory Cohomology Algebraic geometry Étale cohomology Alexander Grothendieck Crystalline cohomology Weil cohomology theory Abstract algebra Algebraic topology Algebra
666	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
667	fea-cuntz.qxp[removed]:03 AM Add to Reading List Source URL: www.ams.org Language: English - Date: 2001-08-09 12:55:43 Homological algebra Cyclic homology Noncommutative geometry Noncommutative topology Hochschild homology Von Neumann algebra C*-algebra Cohomology Lie algebra cohomology Abstract algebra Algebra Mathematics
668	spectral-vs-persistent9.pdf Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2013-10-06 09:48:49 Algebraic topology Spectral sequence Filtration Homological algebra Homology CW complex Linear map Sheaf Betti number Abstract algebra Topology Mathematics
669	1 Anton Kapustin IAS, Princeton Mirror Symmetry and Noncommutative Add to Reading List Source URL: www.cgtp.duke.edu Language: English - Date: 2001-03-08 17:28:12 Theoretical physics Symmetry Differential geometry Homological mirror symmetry Algebraic geometry Supersymmetry Morphism Mirror symmetry Sheaf String theory Abstract algebra Physics
670	Microsoft Word - Robert Hardt（06.11）.doc Add to Reading List Source URL: www.math.ac.cn Language: English - Date: 2014-06-03 04:44:32 Algebra Algebraic topology Cohomology Homology theory Chain complex North University of China Abstract algebra Homological algebra Topology

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