1. K-theory Preprint Archives ktheory Preprint Archives. Welcome to the preprint archives for papers in k-theory. We accept Communication. A calendar of k-theory events. A http://www.math.uiuc.edu/K-theory/

K-theory Preprint Archives Welcome to the preprint archives for papers in K-theory. We accept submissions of preprints in electronic form for storage until publication. Storage after publication may be possible, too. Search with htdig: Search with google: Our mirror site in Germany Our home site in the USA Instructions for authors Instructions for joining the mailing list. Members of the mailing list receive announcements of preprints when they are deposited in the archives. (The list has more than 300 members.) Best Current Practices: Recommendations on Electronic Information Communication A calendar of K-theory events. A bibtex file (2342698 bytes), or the same thing gzipped (557172 bytes) containing 6454 citations to papers related to K-theory and instructions for enlarging bibtex to work with such a large file. MPRESS , a searchable index of preprints, including references to the preprints stored here. Some TeX fonts , stored in a tar image compressed with gzip, including the lams* and xy* fonts, which are needed for some of the preprints. The unprocessed recent submissions bibtex entries Source code for xdvi , a viewer under unix for dvi files.

2. K-theory Calendar ktheory Calendar. The future. Dagstuhl, May Paris, March 1 - July 17, 2004, Semester on k-theory and Noncommutative Geometry. Genova, June http://www.math.uiuc.edu/K-theory/Calendar/

K-theory Calendar The future Dagstuhl , May 16 - 21, 2004, Algorithms and Number Theory Paris , May 26 - 28, 2004, Motivic Homotopy Theory Paris , March 1 - July 17, 2004, Semester on K-theory and Noncommutative Geometry Genova , June 28 - July 2, 2004, Motives, K-theory and Arithmetical Geometry Paris , July 5 - 17, 2004, Conference on K-theory and Noncommutative Geometry Evanston , September 16 - 19, 2004, Algebraic Cycles, K-Theory, and Modular Representation Theory in Honor of the 60th birthday of Eric Friedlander Bonn , September 20 - 24, 2004, Workshop on Structured Ring Spectra Montreal , October 2 - 6, 2004, Algebraic K-theory, 2004 The past Urbana-Champaign May 8 - 9, 2004, Great Lakes K-theory Conference, X Bonn , April 23 - 24, 2004, NRW Topology Meeting Palo Alto , April 23 - 26, 2004, Theory of motives, homotopy theory of varieties, and dessins d'enfants Oberwolfach , March 14 - 20, 2004, Motives and Homotopy Theory of Schemes Munich , February 24 - 28, 2004, Positive Scalar Curvature and Related Topics , October 13 - 17, 2003, Workshop on Topological Modular Forms , September 29 - October 3, 2003, Workshop on Trace Methods in Algebraic K-Theory London, Ontario

3. An Introduction To Algebraic K-theory ``An introduction to algebraic ktheory'' by Charles Weibel ( a graduate textbook in progress) A fuller table of contents is available here. Chapter I Projective Modules and Vector Bundles ( 52pp.) http://www.math.rutgers.edu/~weibel/Kbook.html

``An introduction to algebraic K-theory'' by Charles Weibel (a graduate textbook in progress) A fuller table of contents is available here Chapter I : Projective Modules and Vector Bundles (52pp.) Last major update March 1997 (section 4). Updated July 2000. 1. Free and stably free modules; 2. Projective modules; 3. the Picard group of a ring; 4. topological vector bundles and Chern classes; 5. algebraic vector bundles. Chapter II : The Grothendieck group K_0 (96pp.) Last major update July 1997 (sections 3, 5.6) Updated 199, Dec. 2003 (minor fixes to sec.6,7,9) 1. group completion of a monoid; 2. K_0 of a ring; 3. K(X) of a topological space; 4. Lambda and Adams operations; 5. K_0 of a symmetric monoidal category; 6. K_0 of an abelian category; 7. K_0 of an exact category; 8. K_0 of schemes and varieties; 9. K_0 of a Waldhausen category; Appendix: localizing by categories of fractions. Chapter III : K_1 and K_2 of a ring (64pp.) Last major update August 1997 (section 7). Updated July 2000 (exercises) 1. K_1 of a ring; 2. Relative K_1;

4. 19: K-theory 19 ktheory. Introduction. k-theory is an interesting blend of algebra and geometry 19D Higher algebraic k-theory. 19E k-theory in geometry http://www.math.niu.edu/~rusin/known-math/index/19-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 19: K-theory Introduction K-theory is an interesting blend of algebra and geometry. Originally defined for (vector bundles over) topological spaces it is now also defined for (modules over) rings, giving extra algebraic information about those objects. History Read Atiyah's, "K-Theory Past and Present" at here Applications and related fields Most of the geometric K-theory is treated with Algebraic Topology See also 16E20, 18F25 Subfields Grothendieck groups and K_0, see also 13D15, 18F30 Whitehead groups and K_1 Steinberg groups and K_2 Higher algebraic K-theory K-theory in geometry K-theory in number theory, see also 11R70, 11S70 K-theory of forms, see also 11EXX Obstructions from topology K-theory and operator algebras See mainly 46L80, and also 46M20 Topological K-theory, see also 55N15, 55R50, 55S25 Miscellaneous applications of K-theory K-Theory is the smallest of the 61 active areas of the MSC scheme: only 515 papers with primary classification 19-XX during 1980-1997. But the area 19-XX was only available as a primary classification for Math Reviews papers starting with MR96; hence the count above is an undercount of the true size of the field. (Even granting this, however, K-theory is a fairly small field.) Browse all (old) classifications for this area at the AMS.

5. Kluwer Academic Publishers - K-Theory http://www.kluweronline.com/issn/0920-3036/contents

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6. Kluwer Academic Publishers - K-Theory (Kluwer) Tables of contents from vol.11 (1997). http://www.kluweronline.com/issn/0920-3036

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7. Algebraic K-theory, 2004 Montr©al, Canada; 26 October 2004. http://www.math.uwo.ca/~jardine/CRM2004.html

Algebraic K-theory, 2004 October 2-6, 2004 The topics covered at this meeting will include the most recent developments in algebraic K-theory and the closely allied areas of motivic homotopy theory, algebraic cycles, and motivic cohomology theory, along with applications in other areas of Mathematics. The following mathematicians have agreed to speak: Spencer Bloch (Chicago) David Burns (King's College, London) Gunnar Carlsson (Stanford) Thomas Geisser (USC) Alexander Goncharov (Brown) Max Karoubi (Paris VII) Marc Levine (Northeastern) Ib Madsen (Aarhus) Alexander Merkurjev (UCLA) Fabien Morel (Paris VII) Markus Rost (Bielefeld) R. Sujatha (Tata Institute) Andrei Suslin (Northwestern) Burt Totaro (Cambridge) Vladimir Voevodsky (IAS) Mark Walker (Nebraska) This conference has been funded by grants from the CRM and National Science Foundation. Some travel support will be available for graduate students and junior researchers. Housing and travel information, and an online registration form are available at the CRM conference page The organizers for this meeting are: Rick Jardine jardine@uwo.ca

8. Ninth Great Lakes K-theory Conference GL9 The Ninth Great Lakes ktheory Conference. Department of Mathematics Northwestern University May 2-3, 2003. PLEASE NOTE This http://www.math.uwo.ca/GL9.html

GL9: The Ninth Great Lakes K-theory Conference Department of Mathematics Northwestern University May 2-3, 2003 PLEASE NOTE: This meeting has been moved from the Fields Institute (in Toronto) to Northwestern University. The following mathematicians have agreed to speak at this meeting: S. Bloch (Chicago) T. Geisser (USC) D. Grayson (Urbana-Champaign) B. Kahn (Paris VII) A. Rosenschon (Duke) B. Williams (Notre Dame) May 2-3 a Friday-Saturday. The conference will begin at 3:00pm on the Friday and finish by 4:00pm on Saturday. Here is a tentative Schedule of Lectures A block of rooms for the conference has been booked at The Homestead Inn (1625 Hinman Ave., Evanston, 847-475-3300) for the evenings of May 2-3. Conference participants should make their own hotel reservations. Northwestern University maintains a comprehensive web page listing of hotels in the area . The Hilton and the Omni are two upscale hotels in the area charging roughly $100 each, and the Omni is quite close to the campus. The organizers for this meeting are: Rick Jardine jardine@uwo.ca

9. Allen Hatcher's Homepage Contains textbooks in Algebraic Topology, ktheory, and 3-Manifolds. http://www.math.cornell.edu/~hatcher/

Allen Hatcher Office: 553 Malott Hall Phone: (607)-255-4091 E-mail . The address is hatcher@math.cornell.edu Cornell Math Dept Homepage Cornell Topology Festival Remington Brook - photos On This Webpage: Book Projects: Algebraic Topology Vector Bundles and K-Theory Spectral Sequences in Algebraic Topology ... Books by other authors Book Projects Real and Imaginary Algebraic Topology This is the first in a series of three textbooks in algebraic topology having the goal of covering all the basics while remaining readable by newcomers seeing the subject for the first time. The first book contains the basic core material along with a number of optional topics of a relatively elementary nature. The other two books, which are largely independent of each other, are provisionally titled "Vector Bundles and K-Theory" and "Spectral Sequences in Algebraic Topology." These are only partially written see below. To find out more about the first book or to download it in electronic form, follow this link to the download page Vector Bundles and K-Theory The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes. For further information, and to download the part of the book that is written, go to

10. GLK10 Great Lakes ktheory Conference X. University of Illinois at Urbana-Champaign, USA; 89 May 2004. http://www.math.uiuc.edu/K-theory/Calendar/GL10/

Great Lakes K-theory Conference, X The tenth annual Great Lakes K-theory Conference will be held May 8 - 9, 2004, at the University of Illinois at Urbana-Champaign . The conference is being organized locally by Dan Grayson and Randy McCarthy with the help and scientific advice of Eric Friedlander, Rick Jardine, and Manfred Kolster. For planning the banquet, it would be helpful if you would let know by Wednesday, May 5, that you would like to attend. This time we are pleased to announce that the conference is generously funded by the National Science Foundation and the University of Illinois. At least half of the funds made available by the NSF grant must go to US-based graduate students, junior faculty, underrepresented groups and/or otherwise unsupported individuals, so we are eager to receive applications for financial support from such individuals. To apply for support, please send email to , estimating your expenses and stating what other monetary support is potentially available to you. Please include references to publications and/or solicit a brief email letter of reference from an advisor or mentor. US-based Graduate students are especially encouraged to apply. For full consideration please submit your application by March 26, 2004. If you miss the deadline, don't hesitate to apply after that date, for there may be cancellations or not enough applications. Schedule: The talks will take place in

11. Homotopy Theory For Algebraic Varieties With Applications To K-theory And Quadra Workshop on Homotopy theory for algebraic varieties with applications to ktheory and quadratic forms. Monday, May 11 - Saturday, May 16, 1998. Video for this conference is available in our Video Archive. advanced our knowledge of Galois cohomology and algebraic k-theory. This work involves a global approach of the applications to algebraic k-theory and the theory of quadratic forms http://www.msri.org/activities/events/9798/ktheory

Workshop on Homotopy theory for algebraic varieties with applications to K-theory and quadratic forms Monday, May 11 - Saturday, May 16, 1998 Video for this conference is available in our Video Archive. Very recent work of Vladimir Voevodsky and his collaborators has much advanced our knowledge of Galois cohomology and algebraic K-theory. This work involves a global approach to the algebraic geometry of algebraic varieties which entails the development of a suitable homotopy theory. This meeting will offer an exposition of these new techniques and discuss some of the applications to algebraic K-theory and the theory of quadratic forms. The conference will be organized by Spencer Bloch and Eric M. Friedlander. Primary speaker: Vladimir Voevodsky, Northwestern A program schedule is now available. MSRI's regular Hill Shuttle Service will be operating Monday through Friday, May 11 - 15. Special bus service has been arranged for the Saturday, May 16 lectures. There will be a further program of invited and speakers, and plenty of time left for informal work and conversations. The mathematical community is warmly invited to attend.

12. Applications Of K-theory And Cohomology Applications of ktheory and Cohomology, Southampton 30 March-2 April 2004. General Information. The Spitalfields Day. Applications of k-theory and Cohomology. http://www.maths.soton.ac.uk/staff/Brodzki/AKC/

Applications of K-theory and Cohomology, Southampton 30 March-2 April 2004. General Information The meeting will address recent exciting developments on the boundaries where Algebraic K-Theory meets with arithmetic, algebraic geometry and algebraic topology. The interplay between these topics has been thematic in the long research career of Professor Victor Snaith, a faculty member at the University of Southampton whose sixtieth birthday will be marked by holding this workshop. The workshop itself will serve as a follow-up to the research programme entitled ``New Contexts for Stable Homotopy Theory'' organised by Greenlees, Miller, Morel and Snaith at the Newton Institute during September-December 2002. Main themes of the workshop will include motivic homotopy theory and K-theory, algebraic cobordism of Levine, Morel, and Voevodsky, recent progress on the Bloch-Kato and Beilinson conjectures and applications of algebraic K-theory to the Kummer-Vandiver conjecture in number theory and current ramifications of these topics. There has been much intense activity in this area and the workshop is intended to stimulate exchange of ideas and to facilitate further progress in this exciting and very active area of research. We have been given permission by the London Mathematical Society to hold a Spitalfields Day on 30th March 2004. This will be a day consisting of three one-hour lectures aimed at introducing the topic of the conference to mathematicians who are not necessarily specialists in K-theory and cohomology.

13. K-Theory And Algebraic Groups EU TMR network coordinated in Bielefeld. http://www.mathematik.uni-bielefeld.de/K AG/

14. Algebraic K-theory, Groups And Categories Report of a research programme at the University of Wales, Bangor. http://www.bangor.ac.uk/~mas010/intasrep.html

last updated January 8, 2001 INTRODUCTION: This is a slightly edited and updated version of the Final Report approved by INTAS, ommitting some adminstrative details not of general relevance. INTAS FINAL REPORT TITLE, REFERENCE NUMBER TITLE: Algebraic K-theory, groups and categories REF: INTAS93-436 ext PROJECT COORDINATOR: Professor R. Brown PERIOD COVERED: April, 1997 to February, 2000 RESEARCH Scientific Objectives The origin of this project was the amalgamation in 1995 of two separate proposals for INTAS support in the areas of Algebraic K-theory from A. Bak at Bielefeld, and of Categorical Methods in Algebraic Homotopy and related topics from R. Brown at Bangor, in the general context of Grothendieck's programme in Galois Theory, homotopical algebra, and multiple categories. The INTAS Scientific Committee ruled that these proposals should be amalgamated. The accepted proposal was extended in 1997 and this is the report on the extension. The agreed title of the joint proposal `Algebraic K-theory, groups and categories' indicates well the variety of interconnections and analogies which were envisaged. `Algebraic K-theory' is an area which has been notable from the start for its interactions and the problems it has produced. `Groups' occur as algebraic groups, classical groups, homology groups, homotopy groups, Galois groups, abstract groups, K-groups, and in many other ways. Further the Bangor scientific programme has long investigated and developed higher dimensional analogues of groups, including crossed modules, cat

15. Kluwer Academic Publishers - K-Theory http://www.kluweronline.com/issn/0920-3036/current

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16. An Introduction To Algebraic K-theory An introduction to algebraic ktheory by Charles Weibel. Chapters in DVI. http://math.rutgers.edu/~weibel/Kbook.html

``An introduction to algebraic K-theory'' by Charles Weibel (a graduate textbook in progress) A fuller table of contents is available here Chapter I : Projective Modules and Vector Bundles (52pp.) Last major update March 1997 (section 4). Updated July 2000. 1. Free and stably free modules; 2. Projective modules; 3. the Picard group of a ring; 4. topological vector bundles and Chern classes; 5. algebraic vector bundles. Chapter II : The Grothendieck group K_0 (96pp.) Last major update July 1997 (sections 3, 5.6) Updated 199, Dec. 2003 (minor fixes to sec.6,7,9) 1. group completion of a monoid; 2. K_0 of a ring; 3. K(X) of a topological space; 4. Lambda and Adams operations; 5. K_0 of a symmetric monoidal category; 6. K_0 of an abelian category; 7. K_0 of an exact category; 8. K_0 of schemes and varieties; 9. K_0 of a Waldhausen category; Appendix: localizing by categories of fractions. Chapter III : K_1 and K_2 of a ring (64pp.) Last major update August 1997 (section 7). Updated July 2000 (exercises) 1. K_1 of a ring; 2. Relative K_1;

17. K-Theory From MathWorld ktheory from MathWorld A branch of mathematics which brings together ideas from algebraic geometry, linear algebra, and number theory. In general, there are two main types of k-theory http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/K-Theory.html&

18. SwetsWise: Login www.swetswise.com/link/access_db?issn=09203036 More results from www.swetswise.com RTN Network ktheory and Algebraic GroupsRTN Network HPRN-CT-2002-00287 Algebraic k-theory, Linear Algebraic Groups and Related Structures. Network Coordinator Ulf Rehmann, Bielefeld. http://www.swetswise.com/link/access_db?issn=0920-3036

19. K-THEORY AND ARITHMETIC (30 September - 4 October 2002) Isaac Newton Institute, Cambridge, UK; 30 September 4 October 2002. http://www.newton.cam.ac.uk/programs/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)

20. Lanl.arXiv.org E-Print Archive Mirror Topology; Group Theory; History and Overview; ktheory and Homology; Logic; Mathematical Physics; Metric Geometry http://xxx.lanl.gov/

lanl.arXiv.org e-Print archive mirror Automated e-print archives nlin math cs q-bio physics 17 Jan 2004 Endorsement system introduced. 15 Sep 2003 Announcement of New Quantitative Biology archive. For more info, see cumulative "What's New" pages. Robots Beware: indiscriminate automated downloads from this site are not permitted Physics Astrophysics astro-ph new recent abs find ... Condensed Matter cond-mat new recent abs find includes: Disordered Systems and Neural Networks Materials Science Mesoscopic Systems and Quantum Hall Effect Other ... General Relativity and Quantum Cosmology gr-qc new recent abs find ... High Energy Physics - Experiment hep-ex new recent abs find ... High Energy Physics - Lattice hep-lat new recent abs find ... High Energy Physics - Phenomenology hep-ph new recent abs find ... High Energy Physics - Theory hep-th new recent abs find ... Mathematical Physics math-ph new recent abs find ... Nuclear Experiment nucl-ex new recent abs find ... Nuclear Theory nucl-th new recent abs find ... Physics physics new recent abs find includes (see detailed description Accelerator Physics Atmospheric and Oceanic Physics Atomic Physics ... Quantum Physics quant-ph new recent abs find Mathematics Mathematics math new recent abs find includes (see detailed description Algebraic Geometry Algebraic Topology Analysis of PDEs ... Symplectic Geometry Nonlinear Sciences Nonlinear Sciences nlin new recent abs find includes (see detailed description Adaptation and Self-Organizing Systems Cellular Automata and Lattice Gases Chaotic Dynamics ... Pattern Formation and Solitons Computer Science Computing Research Repository CoRR new recent abs find includes (see

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