41. K-theory Days ktheory Days. Programmes of past k-theory Days. 11th November 1996 (Oxford);27 February 1997 (Manchester); 15 May 1997 (Exeter); 2 June 1997 (Oxford); http://www.maths.soton.ac.uk/staff/Brodzki/Ktheory/

K-theory Days by Jacek Brodzki The LMS is kindly sponsoring a series of collaborative seminars in K-theory and Analysis under the Scheme 3. This seminar meets at least four times per year and is organised by J. Brodzki (Southampton) R. Plymen (Manchester) D. Quillen (Oxford) U.Tillmann (Oxford) Programmes of past K-theory Days 11th November 1996 (Oxford) 27 February 1997 (Manchester) 15 May 1997 (Exeter) 2 June 1997 (Oxford) 25 October 1997 (Manchester) 19 January 1998 (Oxford) 14 May 1998 (Exeter) 8 June 1998 (Oxford) 23 November 1998 (Oxford) 5 February 1999 (Manchester) 24 May 1999 (Oxford) 23 June 1999 (Exeter) 29 November 1999 (Oxford) 17th K-theory Day: Oxford, 23 October 2000. G. Segal (Oxford), Twisted K-theory, J. Hunton (Leicester), Tiling K-theory. 18th K-theory Day: Manchester, 23 February 2000. R. Plymen (Manchester), Hecke algebra of GL(n), periodic cyclic homology, local L-factors P. Baum (Penn State), Equivariant Chern character, S. Millington (Manchester), Schwartz algebras of Harish-Chandra and Lafforgue. 19th K-theory Day, Oxford, 22-23 June 2001.

42. K-theory And Analysis Durham Symposium. ktheory and analysis. The Durham Symposium on k-theory and analysistook place from 6 to 13 July 2000, with lectures running 7 - 12 July. http://www.mcs.le.ac.uk/~jhunton/KTA.html

Durham Symposium K-theory and analysis 6 - 13 July 2000 The Durham Symposium on K-theory and analysis took place from 6 to 13 July 2000, with lectures running 7 - 12 July. The symposium was centred around the theme of K-theory for group C*-algebras and involved the interaction of K-theory with geometry. The overarching idea was that K-theory groups should be seen as a way of organizing certain kinds of geometric structures 'up to deformation'. The symposium represented applications of K-theory that touch upon many different areas of mathematics and drew together a wealth of mathematical ideas. The programme included K-theory for group algebras, the Novikov conjecture, cyclic homology, and dynamical systems all of which have a link to the Baum-Connes conjecture; the K-theory involved ran all the way through its topological, analytic and algebraic versions. The theme, which is developing extremely rapidly at the present time, brought together experts representing mathematical disciplines that are unified in unexpected ways by a few deep and difficult problems. A number of important and new results were announced at the conference, e.g. a proof of the Baum-Connes conjecture for adelic groups. There was also a number of expository talks aimed at postgraduate students. The small size of the Symposium allowed for a lot of informal discussion and interaction between the areas represented.

43. K-theory And Analysis The cohomology and ktheory of commuting homeomorphisms of the Cantor set, (withAlan Forrest) Ergodic Theory and Dynamical Systems 19 (1999), 611-625. http://www.mcs.le.ac.uk/~jhunton/Papers.html

Research papers and preprints John Hunton Omega spectra, coalgebraic algebra and applications The structure of spaces representing a Landweber exact cohomology theory, (with Mike Hopkins) Topology A rational approach to Hopf rings , (with Nige Ray) Journal of Pure and Applied Algebra Coalgebraic algebra , (with Paul Turner) Journal of Pure and Applied Algebra The homology of spaces representing exact pairs of homotopy functors , (with Paul Turner) Topology Complete cohomology theories and the homology of their omega spectra, Topology complete.ps Chromatic characteristic classes in ordinary group cohomology Topology , to appear. ccc.ps math.AT/0109019. Subalgebras of group cohomology defined by infinite loop spaces Submitted. hs.ps On the coalgebraic ring and Bousfield-Kan spectral sequence for a Landweber exact spectrum , (with Martin Bendersky) Submitted. bh.ps bh.pdf Dynamical systems and quasiperiodicity The cohomology and K-theory of commuting homeomorphisms of the Cantor set , (with Alan Forrest) Ergodic Theory and Dynamical Systems Cohomology groups for projection point patterns , (with Alan Forrest and Johannes Kellendonk) Proceedings

44. Milnor, J.W.: Introduction To Algebraic K-Theory. (AM-72). Introduction to Algebraic ktheory. (AM-72). John Willard Milnor. Paper 1972 $30.00 / £19.95 ISBN 0-691-08101-8 200 pp. Shopping Cart. http://pup.princeton.edu/titles/1568.html

PRINCETON University Press SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Introduction to Algebraic K-Theory. (AM-72) John Willard Milnor 200 pp. Shopping Cart Other Princeton books by John Willard Milnor: Characteristic Classes. (AM-76). Morse Theory. (AM-51). Prospects in Mathematics. (AM-70). Singular Points of Complex Hypersurfaces. (AM-61). ... Topology from the Differentiable Viewpoint. Series: Annals of Mathematics Studies Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors Subject Area: Mathematics VISIT OUR MATH WEBSITE Papeu: Not for sale in Japan Shopping Cart: For customers in the U.S., Canada, Latin America, Asia, and Australia Paper: $30.00 ISBN: 0-691-08101-8 For customers in England, Europe, Africa, the Middle East, and India Prices subject to change without notice File created: 12/6/02 Questions and comments to: webmaster@pupress.princeton.edu Princeton University Press

45. Browder, W., Ed.: Algebraic Topology And Algebraic K-Theory: Proceedings Of A Sy Algebraic Topology and Algebraic ktheory Proceedings of a Symposiumin Honor of John C. Moore. (AM-113). Edited by William Browder. http://pup.princeton.edu/titles/2548.html

PRINCETON University Press SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Algebraic Topology and Algebraic K-Theory: Proceedings of a Symposium in Honor of John C. Moore. (AM-113) Edited by William Browder 567 pp. Shopping Cart Series: Annals of Mathematics Studies Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors Subject Area: Mathematics VISIT OUR MATH WEBSITE Cloth: Not for sale in Japan Papeu: Not for sale in Japan Shopping Cart: For customers in the U.S., Canada, Latin America, Asia, and Australia Paper: $55.00 ISBN: 0-691-08426-2 For customers in England, Europe, Africa, the Middle East, and India Prices subject to change without notice File created: 12/6/02 Questions and comments to: webmaster@pupress.princeton.edu Princeton University Press

46. Mathematics Online Compendium: Algebraic K-Theory Recent progress in algebraic ktheory and its relationship with topology and analysishttp//www.math.uiuc.edu/k-theory/0207/index.html An introduction to http://www.dei.unipd.it/~cuzzolin/MOCktheory.html

Recent progress in algebraic K-theory and its relationship with topology and analysis http://www.math.uiuc.edu/K-theory/0207/index.html An introduction to algebraic K-theory http://math.rutgers.edu:80/~weibel/Kbook.html K-theory Preprint Archives http://www.math.uiuc.edu/K-theory/ 19: K-theory http://www.math.niu.edu/~rusin/papers/known-math/index/19-XX.html 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. Algebraic K-Theory, Linear Algebraic Groups and Related Structures Network Coordinator: Ulf Rehmann, Bielefeld http://www.mathematik.uni-bielefeld.de/K+AG/ This page will be updated permanently according to the state of the project. The Network has started on Dec. 1, 1997 and will run for 48 months. Birkhauser - Generalized Etale Cohomology Theories http://www.birkhauser.com/cgi-win/ISBN/3-7643-5494-1 A generalized etale cohomology theory which is represented by a presheaf of spectra on an etale site for an algebraic variety, in analogy with the way an ordinary spectum represents a .... On the vanishing of certain K-theory Nil-groups http://www.imada.ou.dk/Research/Preprints/Abstracts/1998/22.html

47. A Pieri-Chevalley Formula In The K-theory Of A G/B-bundle The master copy is available at http//www.ams.org/era/. A PieriChevalley formulain the k-theory of aG/B-bundle. Harsh Pittie and Arun Ram. Abstract. http://www.mpim-bonn.mpg.de/external-documentation/era-mirror/1999-01-014/1999-0

This journal is archived by the American Mathematical Society. The master copy is available at http://www.ams.org/era/ A Pieri-Chevalley formula in the K-theory of a G/B-bundle Harsh Pittie and Arun Ram Abstract. Retrieve entire article TeX source DVI PostScript Article Info ERA Amer. Math. Soc. (1999), pp. 102-107 Publisher Identifier: S 1079-6762(99)00067-0 Mathematics Subject Classification . Primary 14M15; Secondary 14C35, 19E08 Key words and phrases Received by the editors February 9, 1999 Posted on July 14, 1999 Communicated by Efim Zelmanov Comments (When Available) Harsh Pittie Department of Mathematics, Graduate Center, City University of New York, New York, NY 10036 Arun Ram Department of Mathematics, Princeton University, Princeton, NJ 08544 E-mail address: rama@math.princeton.edu Research supported in part by National Science Foundation grant DMS-9622985. Electronic Research Announcements of the AMS Home page

48. What Is K-Theory What Is ktheory? k-theory is a branch of general linear algebra.Roughly speaking, k-theory is the study of additive (or abelian http://www.math.usf.edu/~emohamed/K_THEORY.htm

What Is K -Theory? K -theory is a branch of general linear algebra. Roughly speaking, K -theory is the study of additive (or abelian) invariants of matrices over a ring R Here are some "basic" examples: Whether or not the rank of a free R -module is an invariant depends on the ground ring R [There are examples of rings which do not satisfy the invariant basis property (IBP): R m and R n are not isomorphic for m n Multiplication of matrices is not commutative; however, given "enough room" by identifying A with and B with , we obtain ( A basic theorem of linear algebra states that: dim (ker f ) + dim (Im f = n, where f is a morphism of K -vector spaces f K n K m An attempt to understand how this theorem may be generalized to arbitrary rings generated the notion of projective module (direct summand of free module). K -theory associates to any ring R a sequence of abelian groups K i R The Grothendieck group K o (R ) (introduced in the sixties), while formulating and proving the Riemann-Roch theorem for algebraic vector bundles, is defined by a process of analogous to the formation of the integers from the natural numbers or of the localization of a ring with respect to a multiplicative set, like the construction of rationals from to integers. This process is called group completion.

49. DC MetaData For:K-theory And Generalized Free Products Of S-algebras: Localizati Strukturen in der Mathematik, P 99, SFB 343 Bielefeld ktheory andgeneralized free products of S-algebras Localization methods. http://www.iwi-iuk.org/material/RDF/1.1/profile/MNPreprint/ex2.rdf.html

Stable K-theory, Topological Hochschild Homology, Generalized free products, S-Algebras, Localization K-theory and generalized free products of S-Algebras: Localization methods Roland Ross E. Staffeldt Staffeldt Ross E. Friedhelm Waldhausen Waldhausen Friedhelm Diskrete Strukturen in der Mathematik, P 99, SFB 343 Bielefeld" K-theory and generalized free products of S-algebras: Localization methods Ross E. Staffeldt Friedhelm Waldhausen Preprint series: Diskrete Strukturen in der Mathematik, P 99, SFB 343 Bielefeld MSC 2000 19D10 Algebraic $K$-theory of spaces Abstract A generalized free product diagram of S-algebras is a generalization and stabilization of the diagram of group rings arising from a Seifert-van Kampen situation. Our eventual goal is to obtain a description of the algebraic K-theory of the ``large'' algebra in a generalized free product diagram in terms of the K-theories of the three smaller algebras. We first provide foundational material on generalized free product diagrams of S-algebras and associated categories of Mayer-Vietoris presentations. We show that the categories of Mayer-Vietoris presentations are categories with cofibrations, weak equivalences, and mapping cylinders. In particular, the hypotheses of the ``generic fibration theorem'' of Waldhausen ( Algebraic K-theory of spaces, Lecture Notes in Math. 1126(1985), 318-419)

50. K-THEORY AND NONCOMMUTATIVE GEOMETRY ktheory AND NONCOMMUTATIVE GEOMETRY. March-July 2004. Institut Henri Poincare(Paris). expertise of k-theory and noncommutative Geometry and to gather most. http://www.math.ku.dk/~rnest/ihp.htm

K-THEORY AND NONCOMMUTATIVE GEOMETRY March-July 2004 Institut Henri Poincare (Paris) Scientific Content Organizers Max Karoubi ( mailto:karoubi@math.jussieu.fr Ryszard Nest ( mailto:rnest@math.ku.dk INTENT It is the main objective of this Semester to bring together the expertise of K-theory and noncommutative Geometry and to gather most of the mathematicians and theoretical physicists working on these fields and related subjects : Algebraic Topology, Algebra, Algebraic Geometry, Differential Geometry, Global Analysis and finally Deformation Theory. PROGRAM Intensive courses on pre and postgraduate level over a period of four months will be organized in order to bring young researchers up to the level where they can understand and participate in the research going on. At the present time, we plan 7 graduate courses Fabien Morel Boris Tsygan Lars Hesselholt Vincent Lafforgue Ryszard Nest Victor Nistor Dima Tamarkin In addition, there will be short advanced courses and various workshops handled by the organizers and the following mathematicians and physicists : Jean Bellissard, Michel Dubois-Violette, Joachim Cuntz, Eric Friedlander

51. K-theory ktheory. Subject k-theory; But maybe John has already explained k-theoryvia elementary linear algebra in a This Week posting? No, I've http://www.lns.cornell.edu/spr/2000-09/msg0028263.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index K-theory Subject : K-theory From : baez@galaxy.ucr.edu (John Baez) Date : 20 Sep 2000 00:00:00 GMT Approved : helbig@astro.rug.nl (sci.physics.research) Newsgroups : sci.physics.research Organization : UCR References 8pjbm8$13ls$1@mortar.ucr.edu 8pkakk$3im$1@crib.corepower.com abergman-E7D279.02243612092000@cnn.princeton.edu Pine.OSF.4.21.0009121300340.38050-100000@goedel1.math.washington.edu References Re: Background free again From: baez@galaxy.ucr.edu (John Baez) Re: Background free again From: nurban@crib.corepower.com (Nathan Urban) Re: Background free again From: Re: Background free again From: Prev by Date: Re: The Exceptionals Next by Date: Re: The Exceptionals Prev by thread: Re: Background free again Next by thread: Re: Background free again Index(es): Date Thread

52. Re: K-theory Re ktheory. Subject physics? I mean direct ones You can thinkof k-theory as a tool for classifying vector bundles over spaces. http://www.lns.cornell.edu/spr/1999-11/msg0019282.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Re: K-theory Subject : Re: K-theory From : baez@galaxy.ucr.edu (John Baez) Date : 12 Nov 1999 00:00:00 GMT Approved : baez@math.ucr.edu Newsgroups : sci.physics.research Organization : U. C. Riverside References 80d3ru$pfu$1@nnrp1.deja.com 80d3ru$pfu$1@nnrp1.deja.com Follow-Ups Re: K-theory From: Re: K-theory From: References K-theory From: Prev by Date: Re: how hard is this Next by Date: Re: Research without expensive equipment? Prev by thread: Re: K-theory Next by thread: Re: K-theory Index(es): Date Thread

53. School And Conference On Algebraic K-Theory And Its Applications -July 8-26 2002 Search Box. Ephemerids. Accadde oggi Convegni e Conferenze School andConference on Algebraic ktheory and its Applications -July 8-26 2002. http://triestemia.com/info/article8.html

@import url("themes/TriesteMia/style/style.css"); Trieste Mia Home Page INFO CENTER Non sei un iscritto registrato ? Registrati Ora QUI . ( E' gratuito ) 18 Mar 2003 - 02:31 Home Page Argomenti Sezioni Downloads ... Top 10 Languages Scegli la lingua: Translator User's Login Nickname Password Ricordami Non hai ancora un account? Puoi REGISTRARTI GRATIS Come iscritto registrato potrai cambiare tema grafico sfruttare tutti i servizi offerti. Main Menu Home Modules AvantGo Downloads FAQ News ... Web Links EnvoBuddy Ciao sei nuovo? Puoi registrarti gratis cliccando Qui .Puoi loggarti usando i campi seguenti. Username: Password: Ricordati Ora ci sono: Iscritti Online: Visitatori Online: Iscritti Totali: Search Box Ephemerids Accadde oggi... Convegni e Conferenze : School and Conference on Algebraic K-Theory and its Applications -July 8-26 2002 Scritto da Admin su Martedì, 16 Aprile 2002 - 16:27

54. K-Theory And Homology Authors/titles Recent Submissions Similar pages Trace Methods in Algebraic ktheoryWorkshop on Trace Methods in Algebraic k-theory. MÜNSTER (GERMANY).Monday, September 29 to Friday, October 3, 2003. Program. The workshop http://xxx.lanl.gov/list/math.KT/recent

K-Theory and Homology Authors and titles for recent submissions Mon, 17 Mar 2003 Mon, 10 Mar 2003 Thu, 6 Mar 2003 Fri, 21 Feb 2003 ... Wed, 12 Feb 2003 Mon, 17 Mar 2003 math.CT/0303175 abs pdf Title: Categorical and combinatorial aspects of descent theory Authors: Ross Street Comments: 45 pages Subj-class: Category Theory; K-Theory and Homology MSC-class: Mon, 10 Mar 2003 math.AT/0303097 abs ps pdf other Title: L^2-Betti numbers, isomorphism conjectures and noncommutative localization Authors: Holger Reich Comments: 28 pages Subj-class: Algebraic Topology; K-Theory and Homology MSC-class: Thu, 6 Mar 2003 math.AT/0303062 abs ps pdf other Title: Fibrewise nullification and the cube theorem Authors: David Chataur Jerome Scherer Subj-class: Algebraic Topology; K-Theory and Homology math.KT/0303069 abs ps pdf other Title: Cyclic Cohomology of Hopf algebras and Hopf Algebroids Authors: M. Khalkhali B. Rangipour Comments: To be published by Banach Centre Publications Subj-class: K-Theory and Homology; Quantum Algebra math.KT/0303068 abs ps pdf other Title: On the Cyclic Homology of Hopf Crossed Products Authors: M. Khalkhali

55. Trace Methods In Algebraic K-Theory Workshop on Trace Methods in Algebraic ktheory. back to the workshop's homepage.Topological cyclic homology of topological k-theory (by John Rognes). http://www.math.uni-muenster.de/u/varisco/tmakt/rognes.html

Workshop on Trace Methods in Algebraic K-Theory [back to the workshop's homepage Topological cyclic homology of topological K-theory (by John Rognes) Computational methods The chromatic filtration on S provides a tower of S-algebras interpolating between the arithmetic case of rings at one end and the geometric case of group S-algebras at the other. The topological cyclic homology of the interpolating S-algebras can often be computationally explored by classical methods of algebraic topology, and the lectures will exhibit some of these methods. The construction of topological cyclic homology as a homotopy limit of fixed points for finite cyclic groups acting on a topological Hochschild homology spectrum is followed in steps at the level of homology- or homotopy groups. The bookkeeping involves the actions on (co-)homology by the Steenrod and Dyer-Lashof algebras, homotopy with coefficients in finite ring spectra, and homotopical Dyer-Lashof operations. Red-shift -periodic spectrum is in a sense v -periodic. Similarly, the algebraic K-theory of connective v

56. K-Theory Yorck Sommerhäuser. Seminars. ktheory. Winter semester 2002 ContentsIn this seminar we give an introduction to k-theory. k-theory is http://www.mathematik.uni-muenchen.de/~sommerh/Seminare/KTheorie/KTheorieWS0203_

Seminars K-Theory Winter semester 2002/2003 Time: Friday, 2:15 pm Room: E 45 Planning session: Friday, October 18, 2002, 2:15 pm, Room E 45 Contents: In this seminar we give an introduction to K-theory. K-theory is a part of ring theory that assigns to every ring certain abelian groups, the so-called K-groups, that describe certain properties of the ring. The origin of this theory lies in topology, where the base ring is the ring of continuous functions on a topological space. The K-groups then become invariants of the topological space. The focus of the seminar will be on algebraic K-theory, which, however, will be compared with topological K-theory and the K-theory of operator algebras. A central topic of the seminar is the connection between the second K-group and the Brauer group, which is given by the Merkuriev-Suslin theorem. From this theorem, we will proceed on the one hand to the discussion of the new progress in motivic cohomology that has recently attracted attention, on the other hand to the consideration of the role that K-theory plays in string theory. The seminar is addressed at graduate students who want to learn about a subject that is relevant for algebra, topology, and differential geometry. Besides a certain mathematical maturity, there are no special prerequisites necessary.

57. From Polytopal Algebras To Polyhedral K-theory Calendar. From polytopal algebras to polyhedral ktheory. Winfried Bruns(Scheduled Workshop Talk). Wednesday, Feb 5, 2003 330 pm to 425 pm http://www.msri.org/calendar/talks/TalkInfo/1740/show_talk

Calendar From polytopal algebras to polyhedral K-theory Winfried Bruns (Scheduled Workshop Talk) Wednesday, Feb 5, 2003 3:30 pm to 4:25 pm at the MSRI Lecture Hall, Mathematical Sciences Research Institute, Berkeley, California We report on joint work with J. Gubeladze (Tbilisi). The set of lattice points of an integral polytope P defines a semigroup in a natural way. The corresponding semigroup algebra F[P] over a field F is called a polytopal algebra. It has a natural grading. The structure of the group of graded automorphisms of F[P] is surprisingly similar to that of the general linear groups over F: each graded automorphism is the composition of a toric automorphism, an automorphism induced by a symmetry of P, and an elementary automorphism. The latter can be described by combinatorial data, called column structures. The elementary automorphisms can be defined over any commutative ring R of coefficients. The construction of Milnor's K_2 via elementary subgroups of GL, Steinberg relations and Steinberg groups can be mimicked in the polytopal setting, at least for so-called balanced polytopes with ?simple? Steinberg relations. The limiting process is replaced by a construction called doubling of polytopes. Therefore one is justified to denote the center of the stable Steinberg by K_2(R,P). Applying Quillen's +construction we define the higher polyhedral K-groups K_i^Q(R,P). Another construction of higher K-theory applicable is Volodin's. In the classical case it relies on triangular subgroups of the general linear group, and analogues of these, called rigid systems, can also be defined for polyhedral K-theory. Suslin's proof of the equivalence of the Quillen and Volodin construction can be transferred to a certain class of polytopes, but it is unclear whether these theories coincide for arbitrary balanced polytopes.

58. Homotopy Theory For Algebraic Varieties With Applications To K-theory And Quadra Workshop on Homotopy theory for algebraic varieties with applications toktheory and quadratic forms. Monday, May 11 - Saturday, May 16, 1998 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.

59. Mini Symposium In Algebraic K-theory And Homotopy Theory Mini symposium in algebraic ktheory and homotopy theory. When, Where, Who, What.09.00-10.00, Room F404, John Rognes, Two-primary algebraic k-theory of pointed spaces. http://www.math.ntnu.no/~dundas/symp/info.html

Mini symposium in algebraic K-theory and homotopy theory Trondhjem, November 5.-6.-1998. Preliminary announcement Tentative schedule (Changes are very likely) Thursday Nov. 5th When Where Who What Room 1236 Nils A. Baas On the construction of Morava K-theories, and elliptic cohomology Room 329 Of all the nerves! (which one should we choose?) somewhere we something to eat Room 338 Alexei Rudakov Fano varieties and finitely generated triangular categories Room 338 Christian Ausoni On the induced homomorphism H GL Z > H GL Q Friday Nov. 6th When Where Who What Room F404 John Rognes Two-primary algebraic K-theory of pointed spaces Room F404 Christian Skau K-theory in C -algebras Room 329 Stavros Tsalidis On the descent problem in algebraic K-theory somewhere we something to eat Room F4 Paul-Arne Østvær Algebraic K-theory of the integers; facts, speculations and applications For more information, please write to BID This page has URL http://www.math.ntnu.no/~dundas/symp/info.html. NTNU Fakultet Institutt Personlig Ansvarlig for innhold: B. I. Dundas

60. DC MetaData For: K-theory And Generalized Free Products Of S-algebras: Localizat ktheory and generalized free products of S-algebras Localizationmethods. MSC2000. 19D10 Algebraic $K$-Theory of spaces Abstract. http://www.mathematik.uni-osnabrueck.de/projects/carmen/AP6/PHP/final.preprints.

K -theory and generalized free products of S-algebras: Localization methods Ross Staffeldt Friedhelm Wald hausen Preprint Series Diskrete Strukturen in der Mathematik, P99, SFB 343 Bielefeld 19D10 Algebraic $K$-Theory of spaces Abstract A generalized free product diagram of S-algebras is a generalization and stabilization of the diagram of group rings arising from a Seifert-van Kampen situation. Our eventual goal is to obtain a description of the algebraic K-theory of the ``large'' algebra in a generalized free product diagram in terms of the K-theories of the three smaller algebras. We first provide foundational material on generalized free product diagrams of S-algebras and associated categories of Mayer-Vietoris presentations. We show that the categories of Mayer-Vietoris presentations are categories with cofibrations, weak equivalences, and mapping cylinders. In particular, the hypotheses of the ``generic fibration theorem'' of Waldhausen ( Algebraic K-theory of spaces, Lecture Notes in Math. 1126(1985), 318-419) are satisfied for two fundamental notions of weak equivalence, and there is, therefore, a three-term fibration sequence up to homotopy in which the K-theory of Mayer-Vietoris presentations with respect to the fine notion of equivalence is compared with the K-theory with respect to the coarse notion. The rest of the paper is concerned with interpreting these K-theories in terms of the K-theories of the algebras in the generalized free product diagram.

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