41. Re: Homological Algebra, Noncommutative Geometry, And Physics Re homological algebra, noncommutative geometry, and physics. From Eric Forgy forgy@uiuc.edu .Re homological algebra, noncommutative geometry, and physics http://www.lns.cornell.edu/spr/1999-09/msg0018237.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Re: Homological algebra, noncommutative geometry, and physics Subject : Re: Homological algebra, noncommutative geometry, and physics From Date : 20 Sep 1999 00:00:00 GMT Approved : baez@math.ucr.edu Newsgroups : sci.physics.research Organization : Deja.com References 37D9D478.BF1@easyon.com 7rdq6u$o4o@charity.ucr.edu 37DC07B8.5550233@uiuc.edu 7rm0kr$me9@charity.ucr.edu ... 37DC07B8.5550233@uiuc.edu References Re: Alcubierre warp drive From: Homological algebra, noncommutative geometry, and physics From: baez@galaxy.ucr.edu (John Baez) Re: Homological algebra, noncommutative geometry, and physics From: Re: Homological algebra, noncommutative geometry, and physics From: baez@galaxy.ucr.edu (John Baez) Prev by Date: Re: This Week's Finds in Mathematical Physics (Week 139) Next by Date: Re: Surface appearance of metals Prev by thread: Re: Homological algebra, noncommutative geometry, and physics Next by thread: Gauge Invariance and Magnetic Monopoles Index(es): Date Thread

42. Re: Homological Algebra, Noncommutative Geometry, And Physics Date PrevDate NextThread PrevThread NextDate IndexThread IndexRe homological algebra, noncommutative geometry, and physics. http://www.lns.cornell.edu/spr/1999-09/msg0018108.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Re: Homological algebra, noncommutative geometry, and physics Subject : Re: Homological algebra, noncommutative geometry, and physics From : baez@galaxy.ucr.edu (John Baez) Date : 14 Sep 1999 00:00:00 GMT Approved : baez@math.ucr.edu Newsgroups : sci.physics.research Organization : University of California, Riverside References 37D9D478.BF1@easyon.com 7rdq6u$o4o@charity.ucr.edu 37DC07B8.5550233@uiuc.edu 37DC07B8.5550233@uiuc.edu Follow-Ups Re: Homological algebra, noncommutative geometry, and physics From: References Re: Alcubierre warp drive From: Homological algebra, noncommutative geometry, and physics From: baez@galaxy.ucr.edu (John Baez) Re: Homological algebra, noncommutative geometry, and physics From: Prev by Date: Re: Gravitational Waves Next by Date: Re: teleportation Prev by thread: Re: Homological algebra, noncommutative geometry, and physics Next by thread: Re: Homological algebra, noncommutative geometry, and physics Index(es): Date Thread

43. Algebraic Topology: Homological Algebra Next Previous Contents 9. homological algebra. Above we used the undefinedproduct *. It is defined by A*B = Tor_1(A,B), the torsion http://www.win.tue.nl/~aeb/at/algtop-9.html

Previous Contents 9. Homological algebra Above we used the undefined product . It is defined by A*B = Tor_1(A,B) , the torsion product of A and B . It is zero when either A or B is free, and we have A*B = B*A Just for completeness the definitions. A resolution of A is an exact sequence ...-> C_i -> ... -> C_0 -> A -> . It is called free when all are free. Free resolutions exist, and any two free resolutions are chain homotopic. Now Tor_i(A,B) = H_i(C tensor B) is independent of the choice of free resolution C (And dually, Ext^i(A,B) = H^i(Hom(A,B)) Over a principal ideal domain one finds Tor_i(A,B) = Ext^i(A,B) = for i > 1 . Also, Tor_0(A,B) = A tensor B , so the only torsion module of interest here is A*B Next Previous Contents

44. Homological Algebra homological algebra (MAS 6396). Literature The following books on homological algebra,some taken from our library, can be found in my office (come and read ! http://www.math.fau.edu/Schmidme/homology.html

Department of Mathematical Sciences Instructor: Markus Schmidmeier Spring 2001 Homological Algebra (MAS 6396) Tuesday and Thursday, 14:00 - 15:20 p.m., SE 215 Often Homological Algebra is considered as a tool that provides a unified language to problems in various fields in Algebra and in Algebraic Topology and that offers various kinds of constructions which are helpful in proofs (e.g. the ``Diagram Chasing''). The focus of this course is on applications: We introduce homological methods (of course), and see how they work in the context of linear algebra problems, like the study of systems of linear maps, or of subspace problems. Preliminaries: Matrix Theory Topics: Categories and functors, projective objects and projective presentations, the Ext-functor, semisimple and hereditary rings, duality and transpose, source maps and sink maps, Auslander-Reiten quivers. Here is a part of my manuscript for downloading: Section 1: k-categories ( dvi ps ), 1/10/01, Section 2: Equivalence and Duality ( dvi ps , Section 3: Abelian Categories dvi ps Section 4: Projective Objects dvi ps Section 5: The Transpose ( dvi ps Section 6: Finite Representation Type ( dvi ps Literature: The following books on Homological Algebra, some taken from our library, can be found in my office (come and read ! ). I intend to use the book by Auslander, Reiten and Smaloe for part of the course as a textbook.

45. Homological Algebra homological algebra. lecture Topics homological algebra is the categorical basisfor the various algebraic constructions in algebra, geometry and topology. http://www.mathematik.uni-stuttgart.de/Erasmus/ss99/html/v__9_Algeb_en.html

[Deutsche Version] Homological Algebra lecture Lecturer: Prof. Dr. Dr. h. c. K. W. Roggenkamp Institute: Mathematik B 3 Days, Time and Place: Mo 9.45 - 11.15 We 9.45 - 11.15 Exercises: by appointment Part: Advanced-Studies, Diplom: Field No. 2, 3, Lehramt: Field No. 2, 3. Topics: Homological algebra is the categorical basis for the various algebraic constructions in algebra, geometry and topology. General homology and cohomology theories will be derived which will then be applied in topology and algebra (Lie algebras and groups). The techniques learned here are mandatory for further lectures in the areas of algebraic geometry, differential geometry, functional analysis and topology. The following topics will be treated in the course of this lecture: Categorical description of kernels, cokernels, products, coproducts, pullbacks, pushouts, exact sequences; fuctors such as the Hom-fuctor and the functor of the tensor product as well as their derived functors Ext and Tor, cohomology of Lie algebras, groups and algebras, stable equivalences, derived categories. Literature: Requirements: Linear Algebra I, II

46. An Introduction To Homological Algebra Ordering instructions There is also a Hardback ISBN 0521435005. An Introductionto homological algebra Charles A. Weibel Rutgers University, New Jersey. http://www.mathematik.uni-bielefeld.de/~koenig/cup-Weibel.html

Title Details Binding: Paperback Bibliographic information: 228 x 152 mm 450pp ISBN: 521 55987 1 25 January 1996 Ordering instructions There is also a Hardback ISBN: An Introduction to Homological Algebra Charles A. Weibel Rutgers University, New Jersey Other titles in Cambridge Studies in Advanced Mathematics series Description Chapter Contents 1. Chain complexes; 2. Derived functors; 3. Tor and Ext; 4. Homological dimensions; 5. Spectral sequences; 6. Group homology and cohomology; 7. Lie algebra homology and cohomology; 8. Simplicial methods in homological algebra; 9. Hothschild and cyclic homology; 10. The derived category; Appendix: category theory language. To receive information by e-mail about new titles in Mathematics please fill in your e-mail address below and click 'register'. E-mail Cambridge University Press, Edinburgh Building, Shaftesbury Road, Cambridge CB2 2RU Contact the Press

47. KVV ( Seminar Homological Algebra ) Translate this page Funktionalanalysis, Inhaltsverzeichnis. Seminar homological algebra (81-827)2 SWS Do 13.45-15.15 / 48-438 Hauptstudium Dozent Prof. Greuel http://www.mathematik.uni-kl.de/~wwwfs/kvv/kvv_2002SS/vor63.htm

Inhaltsverzeichnis Seminar Homological Algebra 2 SWS Do 13.45-15.15 / 48-438 Hauptstudium Dozent Prof. Greuel Inhalt Koszul complexes, duality, depth, Cohen-Macaulay rings, flatness, projective dimension, Auslander-Buchsbaum formula, fitting ideals, Hilbert-Burch theorem, Castelnuove-Mumford regularity, Gorenstein rings, maximal Cohen-Macaulay modules, duality for maximal Cohen-Macaulay modules. Leistungsnachweis Seminar-Schein. Vorkenntnisse Algebraic Geometry I and Commutative Algebra. Literatur Eisenbud: Commutative Algebra. Chapters 17-21; Bruns / Herzog : Cohen-Macaulay Rings; Gelfand / Manin: Methods of Homological Algebra; Godement: Topologie Algebrique et Theorie des Faisceaux; Hartshorne: Algebraic Geometry; Matsumura: Commutative Rings. Bemerkungen The seminar talks will be in English. Diese Seiten wurden erstellt von Lutz Justen

48. Vortragsverteilung Seminar homological algebra and Applications Die folgenden Vortragsthemen sindvorgesehen Literatur CE, H. Cartan, S. Eilenberg homological algebra. http://www.mathematik.uni-kl.de/~lossen/SEMINARS/Homol_Alg.html

Dr. C. Lossen Seminar Homological Algebra and Applications Die folgenden Vortragsthemen sind vorgesehen: Thema : Referenz: Vortragende(r): Extensions and Ext [E] Ex. A.3.26, [CE] Ch. XIV Corina Baciu The Koszul complex and regular sequences [GP] Ch. 7.6, [E] Thm. 17.4, Prop. 18.4 Anen Lakhal Cohen-Macaulay rings and Auslander-Buchsbaum formula [GP] Ch. 7.7, [E] Thm. 19.9, [M] Thm. 19.1 Olexandra Daskovska Computing the equidimensional parts using Ext [EHV] David Ilsen Computing Syzygies and Resolutions [GP], Ch. 2.3, 2.5, [CLO] p. 102-106 Introduction to the derived category [W] Bijan Afshordel [W] Patrick Huber Spectral sequences [W] Sergey Mozgovoy Literatur: [CE] H. Cartan, S. Eilenberg: Homological Algebra [CLO] D. Cox, J. Little, D. O'Shea: Ideals, Varieties and Algorithms [E] D. Eisenbud: Commutative Algebra with a View towards Algebraic Geometry [EHV] D. Eisenbud, C. Huneke, W. Vasconcelos: Direct Methods for Primary Decomposition , Invent. Math. 110 (1992) 207-235 [GP] G.-M. Greuel, G. Pfister, A SINGULAR Introduction to Commutative Algebra [M] H. Matsumura

49. Papers By The CHATA Group Of Seville - Computational Homological Algebra & Algeb Papers by the CHATA group of Seville Computational homological algebra Algebraic Topology and Applications Group V. Álvarez http://www.math.uga.edu/archive/alvarez-etc.html

Back to Dave Benson's Preprint Archive dvi abstract Computing "small" 1-homological modules for CDGAs See also Real

50. Homological Algebra And Applications To Geometry(PG) homological algebra, group cohomology and applications to Geometry. (MSc). homologicalalgebra (3 lectures); group cohomology and spectral sequences (2 lectures); http://maths.dur.ac.uk/pure/gradcour/old/hag00e.html

Homological algebra, group cohomology and applications to Geometry. (MSc) A. Reznikov Epiphany Term - Fridays at 3:15 in CM219 homological algebra (3 lectures) group cohomology and spectral sequences (2 lectures) pro-p groups and their cohomology (2 lectures) Golod-Shafarevich inequality (1 lecture) applications to discrete groups (2 lectures).

51. AMCA: A Little Bit Of Homological Algebra For Categorical Groups Presented By En Homepage. A little bit of homological algebra for categorical groupsby Enrico Vitale Université catholique de Louvain Categorical http://at.yorku.ca/cgi-bin/amca/cajf-31

AMCA Document # cajf-31 Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories September 23-28, 2002 Fields Institute Toronto, Ontario, Canada Organizers George Janelidze, Georgian Academy of Sciences, Bodo Pareigis, University of Munich, Walter Tholen, York University View Abstracts Conference Homepage A little bit of homological algebra for categorical groups by Enrico Vitale Date received: May 30, 2002 Atlas Mathematical Conference Abstracts

52. Peter Jørgensen's Homepage --- Homological Algebra, Homotopical Algebra, Repres My research interests are homological algebra, homotopical algebra, and their diverseareas of application, such as representation theory, ring theory, non http://www.geocities.com/popjoerg/

The frontpage Research Publications Jokes Curriculum Vitae ... Mail me Danish National Library of Science and Medicine DKDenmark e-mail: popjoerg@hotmail.com I am a research librarian in mathematics at the Danish National Library of Science and Medicine , and do research in mathematics, as well as library work such as maintaining the library's collection of math books. My research interests are homological algebra, homotopical algebra, and their diverse areas of application, such as representation theory, ring theory, non-commutative algebraic geometry, and algebraic topology. Please use the links in the sidebar to navigate, or click for a description of my research here , for my publications here , or for a number of egregious jokes here This page was last updated on 24 August 2002.

53. HOMOLOGICAL ALGEBRA homological algebra. Chapters. BASIC ALGEBRAS. CHAIN COMPLEXES. http://www.dtr.isy.liu.se/Magma/part11.html

[Next] [Prev] [Right] [Left] ... [Root] HOMOLOGICAL ALGEBRA Chapters BASIC ALGEBRAS CHAIN COMPLEXES

54. Relative Homological Algebra Relative homological algebra. Author(s) EE Enochs and OMG Jenda. PublisherWalter de Gruyter. ISBN 3 1101 6633 X. Format hardback. 339pp. Price DM168. http://www.booknews.co.uk/Books/1348.htm

Relative Homological Algebra Buy a book.. Author(s): E. E. Enochs and O. M. G. Jenda Publisher: Walter de Gruyter ISBN: 3 1101 6633 X Format: hardback Price: Review Date: May 23, 2000 Review:

55. Papers By AMS Subject Classification No papers on this subject. 18GXX homological algebra See also 13DXX,16EXX, 55UXX / 18XX Category theory / Classification root. 18G05 http://im.bas-net.by/mathlib/en/ams.phtml?parent=18GXX

56. [alg-geom/9411018] Homological Algebra Of Mirror Symmetry 35 0800 (20kb) homological algebra of Mirror Symmetry. Author MaximKontsevich Comments 19 pages, AmsTeX, no figures. This is http://arxiv.org/abs/alg-geom/9411018

Algebraic Geometry, abstract alg-geom/9411018 From: maxim@math.berkeley.edu (Maxim Kontsevich) Date: Tue, 29 Nov 1994 17:04:35 -0800 (20kb) Homological Algebra of Mirror Symmetry Author: Maxim Kontsevich Comments: 19 pages, AmsTeX, no figures. This is my talk at ICM, Zurich 1994 Subj-class: Algebraic Geometry This is my talk at ICM, Zurich 1994. It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Links to: arXiv alg-geom find abs

57. [math/0010073] Torus Actions, Combinatorial Topology And Homological Algebra From Taras Panov tpanov@mech.math.msu.su Date Sat, 7 Oct 2000 231215GMT (90kb) Torus actions, combinatorial topology and homological algebra. http://arxiv.org/abs/math.AT/0010073

Mathematics, abstract math.AT/0010073 Torus actions, combinatorial topology and homological algebra Authors: Victor M. Buchstaber Taras E. Panov Comments: 87 pages, 11 figures, LaTeX2e, to appear in Russian Math. Surveys 55 (2000), no.5 Report-no: ITEP-TH-48/00 Subj-class: Algebraic Topology; Algebraic Geometry; Combinatorics; Geometric Topology; Rings and Algebras; Commutative Algebra MSC-class: Journal-ref: Russian Math. Surveys 55 (2000), no.5, 825-921 Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Links to: arXiv math find abs

58. Atlas: A Little Bit Of Homological Algebra For Categorical Groups By Enrico Vita Homepage. A little bit of homological algebra for categorical groupspresented by Enrico Vitale Université catholique de Louvain http://atlas-conferences.com/c/a/j/f/31.htm

Atlas Document # cajf-31 Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories September 23-28, 2002 Fields Institute Toronto, Ontario, Canada Conference Organizers George Janelidze, Georgian Academy of Sciences, Bodo Pareigis, University of Munich and Walter Tholen, York University View Abstracts Conference Homepage A little bit of homological algebra for categorical groups presented by Enrico Vitale Date received: May 30, 2002 The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc.

59. CanonicalTomes: Commutative And Homological Algebra Title Introduction to Commutative Algebra Author Atiyah and Macdonald ISBN 0201407515Price($US) $65.00 In Canada Buy this book at Chapters.ca In the US http://www.canonicaltomes.org/topic.cgi?topic_id=225

60. Relative Homological Algebra http://www.auskunft2search.de/relative-homological-algebra-622-366-923-x.html

Relative Homological Algebra Enochs Edgar E Jenda Overtoun M G Relative Homological Algebra turtleback Zwischen Tod und Lebensglück... Heilig und Profan... Protestantische Theologie und moderne Welt. Studien zur Geschichte der liberalen Theologie nach 1918.... Home ... St(r)ichproben '99. Die besten Karikaturen von Jürgen Tomicek....

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