1. K-theory Preprint Archives Electronic preprint archives for mathematics research papers in k-theory. Includes some papers in Category Science Math Number Theory Publications Preprint Archives......ktheory Preprint Archives. Welcome to the preprint archives for papersin 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. Use the Find facility of your browser on this page, or search: Search the K-theory preprint archives 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. Algebraic K-theory, Groups And Categories proposals for INTAS support in the areas of Algebraic ktheory from A. Bak at Bielefeld, and of Categorical Methods in 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

3. K-theory Calendar Past and future events, maintained in conjunction with the k-theory Archive at UIUC.Category Science Math Events Calendars......ktheory Calendar. The future. Oxford, Ohio, April 5 - 6, 2003, k-theoryand Algebraic Cycles. Toronto May 2 - 3, 2003, Great http://www.math.uiuc.edu/K-theory/Calendar/

K-theory Calendar The future Oxford, Ohio , April 5 - 6, 2003, K-Theory and Algebraic Cycles Toronto May 2 - 3, 2003, Great Lakes K-theory Conference, IX Morelia, Mexico , June 15 - July 4, 2003, The Arithmetic, Geometry and Topology of Algebraic Cycles Tbilisi , June 16 - 20, 2003, Homotopical Algebra and K-theory London, Ontario , September, 2003, Fields Institute Program on Applied Homotopy Theory , September 29 - October 3, 2003, Workshop on Trace Methods in Algebraic K-Theory , October 13 - 17, 2003, Workshop on Topological Modular Forms Paris , March 1 - July 17, 2004, Semester on K-theory and Noncommutative Geometry Paris , July 5 - 17, 2004, Conference on K-theory and Noncommutative Differential Geometry The past Urbana , March 4-5, 1995, Great Lakes K-theory Conference, I Evanston , April 22, 1995, Midwest Topology Seminar Trento , June 19-23, 1995, Summer Conference on K-theory Nijmegen , June 26-30, 1995, Workshop on K-theory and Number Fields Poznan , September 4-8, 1995, Algebraic K-theory Nice , October 13-14, 1995, Spaces of Cycles Oberwolfach , November 5-11, 1995, Algebraic K-Theory and Homotopy Theory Vancouver , December 9-12, 1995, CMS/Fields Institute, Session on Homotopy Theory Toronto , March 2-3, 1996, Fields Institute, Great Lakes K-theory Conference, II

4. Sixth Great Lakes K-theory Conference Fields Institute, Toronto, Canada; 2526 March 2000. http://www.math.uwo.ca/GL6.html

Third Announcement GL6: The Sixth Great Lakes K-theory Conference Fields Institute Toronto, Ontario, Canada March 25-26, 2000 The sixth Great Lakes K-theory Conference will be held at the Fields Institute in Toronto. The following mathematicians have agreed to speak at this meeting: P. Balmer (Western Ontario) T. Goodwillie (Brown) L. Hesselholt (MIT) A. Merkurjev (UCLA) M. Rost (IAS) V. Voevodsky (IAS) M. Walker (Nebraska) March 25-26 is a Saturday-Sunday. The conference will begin at 9:00am on the Saturday and finish by 1:00pm on Sunday. Here is a Schedule of Lectures A block of rooms for the conference has been booked at the Toronto Colony Hotel for the evenings of March 24-25. Consult this page for more information: Travel and Hotel Information . All conference participants should make their own hotel reservations. This conference is supported by the Fields Institute and NSERC. The organizers for this meeting are: Rick Jardine jardine@uwo.ca Manfred Kolster kolster@mcmaster.ca Dan Grayson dan@math.uiuc.edu

5. 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)

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

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

8. An Introduction To Algebraic K-theory ``An introduction to algebraic ktheory''. by Charles Weibel (a graduate textbook in progress) 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 1 Dec. 1999 (exercises in sec.7) 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;

9. 19: K-theory From the atlas of known mathematics.Category Science Math Topology Algebraic Topology......Introduction. ktheory is an interesting blend of algebra and geometry. History.Read Atiyah's, k-theory Past and Present at here 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.

10. 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 Nature Photos On This Webpage: Book Projects: Algebraic Topology Vector Bundles and K-Theory Spectral Sequences in Algebraic Topology ... Papers Book Projects Real and Imaginary Algebraic Topology In an excess of youthful enthusiasm in the late 1980's I started writing an algebraic topology book with the ambitious goal of covering all the basics while yet remaining readable by newcomers seeing the subject for the first time. As the magnitude of the task gradually became apparent, the end of the book receded farther and farther into the distance. Eventually the book split into two volumes, then three. The first volume, which is now finished, contains the basic core material along with a number of optional topics of a relatively elementary nature. The other two volumes, 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

11. RTN Network: K-Theory And Algebraic Groups Algebraic ktheory, Linear Algebraic Groups and Related Structures http://www.mathematik.uni-bielefeld.de/K+AG

RTN Network HPRN-CT-2002-00287: Algebraic K-Theory, Linear Algebraic Groups and Related Structures Network Coordinator: Ulf Rehmann , Bielefeld This network cooperates with INTAS-99-0081 It is a continuation of the TMR network ERB FMRX CT-97-0107 This page will be updated permanently according to the state of the project. The network has started on Oct. 1, 2002 and will run for 48 months. Vacancies for Postdoctoral and Predoctoral Positions If you have support for the DjVu format on your machine, download the DjVu files, they are substantially smaller and are rendered faster. (The free DjVu software can be downloaded from DjVuLibre Membership Agreement Form (MAF) : PDF 0.032 MB PDF.gz 0.029 MB DjVu 0.021 MB Correction to Membership agreement PDF Contract with complete signature page (p. 7): PDF 3.0 MB PDF.gz 0.7 MB DjVu 0.3 MB Annex I (Work Programme) : PDF 4.9 MB PDF.gz 1.4 MB DjVu 0.5 MB Annex II (General Conditions) : PDF 13.1 MB PDF.gz 3.6 MB DjVu 1.5 MB Forms (CS=Cost Statements etc.) : PDF 0.92 MB PDF.gz 0.2 MB DjVu 0.06 MB

12. Kluwer Academic Publishers - K-Theory ktheory 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. http://www.wkap.nl/jrnltoc.htm/0920-3036

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13. 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 1 Dec. 1999 (exercises in sec.7) 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;

14. TMR Network K-Theory And Algebraic Groups Algebraic ktheory, Linear Algebraic Groups and Related Structures. Preprint ServersLinear Algebraic Groups and Related Structures, k-theory Preprint Archives. http://www.mathematik.uni-bielefeld.de/K AG/TMR.html

15. Charles A. Weibel: Home Page Rutgers. Algebraic ktheory, homological algebra. On-line texts and notes in algebra, history; journal information. http://math.rutgers.edu/~weibel/

Charles Weibel's Home Page Teaching Stuff (for more information, see Rutgers University , the Rutgers Math Department , and its Graduate Math Program My schedule (Addresses, courses, office hours) Statistical evidence for the effectiveness of our Calculus Workshop formats Statistical evidence for the effectiveness of web-based homework in Calculus Undergraduate Course Materials , as well as course material for Calculus I (Math 135) and WeBWork Calculus II for the Biological Sciences (Math 138) Math. Theory of Probability Cryptography (Math 395) Spring 2003 ( homework and department's 395 course page Graduate Algebra Supplementary Materials Bilinear forms supplement and the Group representations supplement Research stuff: Here are some research papers my research interests and my Ph.D. Students Corrections to my textbook ``An introduction to homological algebra'' Chapters in my book-in-progress ``Algebraic K-theory'' Lectures on motivic cohomology (Beta version) Thomason Obituary Material (photos and articles) Do you like the History of Mathematics?

16. K-theory And Arithmetic 4 A Newton Institute Workshop. ktheory and arithmetic. 14.00-15.00 C Soule (IHES)Bounds on the torsion in the k-theory of algebraic integers More info. http://www.newton.cam.ac.uk/programs/NST/nstw03p.html

Isaac Newton Institute for Mathematical Sciences A Newton Institute Workshop K-theory and arithmetic 29 Sep - 5 Oct 2002 Timetable: List of participants Monday 30 September Registration A Scholl Cambridge Zeta elements and modular forms More info Coffee S Bloch Chicago Lunch at Wolfson Court C Soule IHES Bounds on the torsion in the K-theory of algebraic integers More info Tea P Schneider Muenster Noncommutative Iwasawa Theory More info Welcome Wine Reception Dinner at Wolfson Court (Residents Only) Tuesday 1 October VP Snaith Southampton Stark's conjecture and new Stickelberger phenomena Coffee I Fesenko Nottingham Analysis on arithmetic surfaces More info Lunch at Wolfson Court Z Wojtkoviak Nice l-adic polylogarithms Tea C Pedrini Genova Finite-dimensional motives and the Beilinson-Bloch conjectures More info Dinner at Wolfson Court (Residents Only) Wednesday 2 October M Taylor UMIST de Rham discriminants More info Coffee V Abrashkin Durham Analogue of the Grothendieck conjecture for higher dimensional local fields Lunch at Wolfson Court Free afternoon - sightseeing Dinner at Wolfson Court (Residents Only) Thursday 3 October S Lichtenbaum Brown Coffee D Burns King's college London and values of L-functions More info Lunch at Wolfson Court T Geisser USC Tea B Kahn Jussieu Rational and numerical equivalence on certain abelian varieties over finite fields Conference Dinner at Christ's College More info Friday 4 October U Jannsen Regensburgh Kato complexes: conjectures and results More info Coffee A Schmidt Heidelberg Relative K-groups and class field theory of arithmetic surfaces

17. Subfaculty Of Mathematics Subfaculty of Mathematics, Department of Algebra. Research groups symbolic algebra, ktheory, polynomial mappings. http://www-math.sci.kun.nl/math/onderzoek/dep_algebra/dep_algebra.html

4 februari 2002 Bron: bp Department of Algebra Head Prof. dr. F.J. Keune Staff Research Programme Programme ALCOM Programme K-Theory Programme Polynomial Mappings Zoeken in de openbare Research pagina's (m.b.v. de SURFnet Search Engine): Voorbeeld van zoeken met meer termen: reports AND 1998

18. Mathematical Logic Group Home Page Oxford University Cohomology, k-theory and sheaves. http://www.maths.ox.ac.uk/~edmundo/

Personal Information Name: Mario J. Edmundo Affiliation: The Mathematical Institute University of Oxford and CMAF Universidade de Lisboa Address: 24-29 St Giles Phone: Oxford, OX1 3LB Fax: United Kingdom email: edmundo@maths.ox.ac.uk Curriculum vitae dvi Research Proposal: Cohomology, K-theory and sheaves in o-minimal structures.(October 5, 2002) dvi Publications and Preprints [1] "Structure theorems for o-minimal expansions of groups" Annals of Pure and Applied Logic 102 (2000) 159-181. [2] "On solvable groups and rings definable in o-minimal structures" To appear in Proceedings of the Logic Colloquium 99 dvi [3] "Solvable groups definable in o-minimal structures" To appear in J. of Pure and Applied Algebra dvi [4] "O-minimal cohomology and definably compact definable groups" To appear in J. of Mathematical Logic dvi [5] "Covers of groups definable in o-minimal structures" Preprint 2001 (submitted) dvi [6] "Properly V-definable groups in o-minimal structures" Preprint 2002 (submitted) dvi [7] "A general cohomology theory for o-minimal structures" Preprint 2002 (submitted) dvi [8] "Another fixed point theorem for o-minimal expansions of fields" Preprint 2002 (submitted) dvi [9] "Homology and torsion points of V-definable groups in o-minimal structures" Preprint 2002 dvi [10] "Interpreting fields in V-definable groups in o-minimal structures" Preprint 2002 dvi [11] "Separation theorems in o-minimal expansions of fields" Preprint 2003 dvi "Cohomology and duality theory in o-minimal structures" (In preparation)

19. K-Theory -- From MathWorld ktheory, A branch of mathematics In general, there are two main typesof k-theory topological and algebraic. Topological k-theory is http://mathworld.wolfram.com/K-Theory.html

Topology Algebraic Topology Topology Bundles K -Theory 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: topological and algebraic. Topological K -theory is the "true" K -theory in the sense that it came first. Topological K -theory has to do with vector bundles over topological spaces . Elements of a K -theory are stable equivalence classes of vector bundles over a topological space . You can put a ring structure on the collection of stably equivalent bundles by defining addition through the Whitney sum , and multiplication through the tensor product of vector bundles . This defines "the reduced real topological K -theory of a space." "The reduced K -theory of a space" refers to the same construction, but instead of real vector bundles complex vector bundles are used. Topological K -theory is significant because it forms a generalized cohomology theory, and it leads to a solution to the vector fields on spheres problem, as well as to an understanding of the J -homeomorphism of homotopy theory Algebraic K -theory is somewhat more involved. Swan (1962) noticed that there is a correspondence between the

20. Ninth Great Lakes K-theory Conference GL9 The Ninth Great Lakes ktheory Conference. The ninth Great Lakes k-theoryConference will be held at the Fields Institute in Toronto. http://www.math.uwo.ca/GL9.html

GL9: The Ninth Great Lakes K-theory Conference Fields Institute Toronto, Ontario, Canada May 2-3, 2003 The ninth Great Lakes K-theory Conference will be held at the Fields Institute in Toronto. 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 Schedule of Lectures A block of 15 rooms for the conference has been booked at the Days Inn Downtown for the evenings of May 2-3. All conference participants should make their own hotel reservations, before April 2 to have the rooms guaranteed - participants should identify themselves as members of the Fields Institute in order to obtain the conference rate. Information about the hotel is available through the Fields Institute Housing page This conference is supported by the Fields Institute and NSERC. The organizers for this meeting are: Rick Jardine jardine@uwo.ca

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