41. K-Theory And Intersection Theory File Format PDF/Adobe Acrobat Quick View http://www.math.uic.edu/~henri/preprints/K-Theory_Chow_Groups-6.pdf

42. Algebraic K-theory In NLab Idea. From the nPOV, algebraic ktheory is an an (∞,1)-functor that sends stable (∞,1)-categories to spectra – their k-theory spectra. Traditionally the stable (∞,1)-categories http://ncatlab.org/nlab/show/algebraic K-theory

nLab algebraic K-theory Skip the Navigation Links Home Page All Pages Recently Revised ... Export Contents Idea Details References Idea From the nPOV , algebraic K-theory is an an (∞,1)-functor that sends stable (∞,1)-categories to spectra – their K-theory spectra. Traditionally the stable -categories that have been considered are those coming from categories of chain complex es, and in this sense algebraic K-theory is the study of K-theory of categories more general than that of (bounded chain complex es of) vector bundle s on a topological space , which is the topic of topological K-theory In its simple form algebraic K-theory provides tools for computing the Grothendieck group of suitable categories. In its more refined form it studies the K-theory spectrum assigned to these categories. Crucuial tools for this go by the name Q-construction and Waldhausen S-construction Types of categories for which a theory of algebraic K-theory exist include notably the notions Quillen exact category abelian category Waldhausen category triangulated category Concrete examples of interest include for instance the category of finitely generated projective object s over a unital k algebra the category of coherent sheaves over a noetherian scheme the category of locally free sheaves over a scheme

43. EXCISION FOR K-THEORY OF CONNECTIVE RING SPECTRA 1. Introduction File Format PDF/Adobe Acrobat Quick View http://www.intlpress.com/HHA/v10/n1/a2/v10n1a2.pdf

44. Cohomology And K-theory Of Aperiodic Tilings Please use this identifier to cite or link to this item http//hdl.handle.net/1853/24732 http://smartech.gatech.edu/handle/1853/24732

Login Register Advanced Search SMARTech Home ... Georgia Tech Theses and Dissertations View Item Browse All of SMARTech Date Author Title Subject ... Type This Collection Date Author Title Subject ... Type Control Panel Login Register Statistics View Statistics Links Help with SMARTech Policies of SMARTech About SMARTech Cohomology and K-theory of aperiodic tilings Show full item record Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/24732 Title: Cohomology and K-theory of aperiodic tilings Author: Savinien, Jean P.X. Abstract: Type: Dissertation URI: http://hdl.handle.net/1853/24732 Date: 19-May-2008 Publisher: ... Spectral sequences (Mathematics) Files in this item Files Description Size Format View savinien_jean_px_200808_phd.pdf PDF View/ Open This item appears in the following Collection(s) School of Mathematics Theses and Dissertations Georgia Tech Theses and Dissertations Show full item record SMARTech powered by: DSpace Software DuraSpace

45. K-THEORY AND ALGEBRAIC CYCLES A WORKSHOP on ktheory AND ALGEBRAIC CYCLES has been organized in the framework of the National Research Project Geometry on Algebraic Varieties financed by MURST (the http://www.dm.unibo.it/ktheory/

46. EIMI 2010: Algebraic Geometry, K-theory, And Motives Algebraic Geometry, ktheory, and Motives. (a conference dedicated to Andrei Suslin s 60th birthday). St. Petersburg, Russia June 25-29, 2010 http://www.pdmi.ras.ru/EIMI/2010/ag/

47. Complex Topological K-Theory - Cambridge University Press For price and ordering options, inspection copy requests, and reading lists please select Europe, Middle East and Africa Americas Asia Australia and New Zealand http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521856348

48. EMS - European Mathematical Society Publishing House Since its inception 50 years ago, ktheory has been a tool for understanding a wide-ranging family of mathematical structures and their invariants http://www.ems-ph.org/books/book.php?proj_nr=89

49. Dugger , Shipley : K-theory And Derived Equivalences We show that if two rings have equivalent derived categories, then they have the same algebraic ktheory. Similar results are given for G-theory and for a large class of abelian http://projecteuclid.org/euclid.dmj/1093984109

Log in Title Author(s) Abstract Subject Keyword All Fields FullText more options Home Browse Search ... previous :: next K -theory and derived equivalences Daniel Dugger and Brooke Shipley Source: Duke Math. J. Volume 124, Number 3 (2004), 587-617. Abstract We show that if two rings have equivalent derived categories, then they have the same algebraic K -theory. Similar results are given for G -theory and for a large class of abelian categories. Primary Subjects: Secondary Subjects: Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text Links and Identifiers Permanent link to this document: http://projecteuclid.org/euclid.dmj/1093984109 Digital Object Identifier: doi:10.1215/S0012-7094-04-12435-2

50. An Introduction To K-theory File Format PDF/Adobe Acrobat Quick View http://users.ictp.it/~pub_off/lectures/lns023/Friedlander/Friedlander.pdf

51. Lectures On Topological K-theory Lectures on Topological ktheory. Spring Quarter 2000. Small Seminar Room, Institute for Theoretical Physics. Fridays at 330 pm. This will be an expository seminar on the elements of http://www.math.ucsb.edu/~moore/ktheory.html

Lectures on Topological K-theory Spring Quarter 2000 Small Seminar Room, Institute for Theoretical Physics Fridays at 3:30 pm This will be an expository seminar on the elements of topological K-theory at a level suitable for graduate students in mathematics and physics. Just like the fundamental group and the de Rham cohomology groups, K-theory provides topological invariants of smooth manifolds. These topological invariants are constructed from isomorphism classes of vector bundles over manifolds. Among the early applications of K-theory to topology was a simple proof that the only spheres which possess trivial tangent bundles are those of dimensions 1,3 and 7. It was also one of the key tools used by Atiyah and Singer in their index theorem for systems of elliptic partial differential equations on smooth manifolds. More recently, K-theory has become an important ingredient in the theory of D-branes from theoretical physics. Schedule: Friday, April 7, Xianzhe Dai, Introduction Friday, April 14, Siye Wu, The Grothendieck construction Friday, April 21, Bill Jacob, Algebraic K-theory (first steps)

52. K-THEORY AND ARITHMETIC (30 September - 4 October 2002) Isaac Newton Institute, Cambridge, UK; 30 September 4 October 2002. http://www.newton.ac.uk/programmes/NST/nstw03.html

Isaac Newton Institute for Mathematical Sciences, Cambridge, UK K-THEORY AND ARITHMETIC 30 September - 4 October 2002 Programme Participants Organisers: S Lichtenbaum ( Brown ), VP Snaith ( Southampton Theme: This workshop will concentrate on the aspects of the interplay between algebraic K-theory, arithmetic and algebraic geometry. Particular emphasis will be placed upon applications of the recently developed homotopy theory of geometric and motivic categories. In addition to lectures on current results, a number of expository lectures will be scheduled to provide researchers and graduate students in related areas with an opportunity to learn about these new techniques. Topics of current interest in this area include: Beilinson-Soulé conjectures, Bloch-Kato conjecture, Beilinson-Borel regulators, Kato-Parshin-Saito higher class field theory, Lichtenbaum-Quillen conjecture, Milnor K-theory, motivic cohomology, Brumer-Coates-Sinnott conjectures, polylogarithms and special values of L-functions. Participants will include: M Ando (UIUC), S Bloch (Chicago), D Burns (KCL), G Carlsson (Stanford), R de Jeu (Durham), WG Dwyer (Notre Dame), H Esnault (Essen), I Fesenko (Nottingham), P Goerss (Northwestern), JPC Greenlees (Sheffield), M Hanamura (Kyushu), L Hesselholt (MIT), M Hovey (Wesleyan), P Hu (Chicago), A Huber (Leipzig), U Jannsen (Regensburg), JF Jardine (UWO), B Kahn (Paris VII), I Kriz (Michigan), M Levine (Northeastern), S Lichtenbaum (Brown), I Madsen (Aarhus), M Mahowald (Northwestern), F Morel (Paris VII), DC Ravenel (Rochester), J Rognes (Oslo), M Rost (Ohio State), P Schneider (Muenster), AJ Scholl (Cambridge), S Schwede (Bielefeld), V Snaith (Southampton), C Soulé (IHES), NP Strickland (Sheffield), B Totaro (Cambridge), V Voevodsky (IAS), C Weibel (Rutgers), N Yagita (Ibaraki)

53. 1 Semi-topological K-theory 1 Semitopological k-theory EricM. Friedlander 1 and Mark E. Walker 2? 1 Department of Mathematics, Northwestern University, Evanston, IL, 60208-2730 eric@math.northwestern.edu 2 http://www.math.northwestern.edu/~eric/preprints/semitop/ourchapter7-30.pdf

54. UC-eLinks uclibs.org/PID/1752PDF Dirac Charge Quantization, ktheory, and OrientifoldsFile Format PDF/Adobe Acrobat - Quick View http://uclibs.org/PID/1752

55. LECTURE NOTES ON THE K-THEORY OF OPERATOR ALGEBRAS Based Primarily File Format PDF/Adobe Acrobat Quick View http://toknotes.mimuw.edu.pl/sem1/files/K_theory.pdf

56. Chern Character And K-Theory « Rigorous Trivialities Nov 6, 2009 So first we need to figure out what is ktheory. There are a few approaches we can take, and I m going to start with the most basic. http://rigtriv.wordpress.com/2009/11/06/chern-character-and-k-theory/

57. CiteSeerX — K-theory Of Twisted C*-algebras And Positive Scalar CiteSeerX Document Details (Isaac Councill, Lee Giles) . In this paper, we will outline a method to compute the k-theory of twisted group C -algebras in terms of the (twisted http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.9154

58. Derived Representation Theory And The Algebraic K-theory Of Fields File Format PDF/Adobe Acrobat Quick View http://math.stanford.edu/~gunnar/repassembly.pdf

59. K-THEORY. An Elementary Introduction By Max Karoubi Conference At File Format PDF/Adobe Acrobat Quick View http://www.cms.zju.edu.cn/conference/2006/Cohomology/Intro[1].K.theory.pdf

60. An Introduction To K-Theory For C*-Algebras - Cambridge University For price and ordering options, inspection copy requests, and reading lists please select Europe, Middle East and Africa Americas Asia Australia and New Zealand http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521783347

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