41. Motives, K-theory And Arithmetical Geometry Motives, ktheory and Arithmetical Geometry. Summer School Workshop. SESTRI LEVANTE (Genova, Italy) June 28 - July 2, 2004. http://www.mat.uniroma3.it/GVA/MKTAG/

Motives, K-theory and Arithmetical Geometry SESTRI LEVANTE (Genova, Italy) June 28 - July 2, 2004 Welcome Program Application form Participants Location ... U. Rehmann (Bielefeld)

42. K-Theory And Linear Algebraic Groups, Duisburg, Sept. 9 - 15, 2001 Translate this page http://www.uni-duisburg.de/FB11/LAGRS/

43. Pietro Cornacchia's Home Page University of Pisa. Algebraic number theory ideal class groups for cyclotomic fields, and ktheory of the rings of integers of an abelian number field. http://www.dm.unipi.it/pages/cornac/public_html/cornacchia.html

I am a graduate student in Mathematics at University of Pisa. I like traveling, the mountains and riding my motorbike. My field of interest is Algebraic Number Theory. In particular, I am interested in the structure of the ideal class groups for cyclotomic fields, and the K-theory of the rings of integers of an abelian number field. Some interesting mathematical links: AMS Cyclotomic fields VSG Algebraic Number theory archives K-theory archives ... UMI Other links: Altavista (search engine) Italian newspapers Meteo Works: The parity of the class number of the cyclotomic fields of prime conductor Proceedings of the AMS, (1997) n. 11, 3163-3168. Anderson's module for cyclotomic fields of prime conductor, Journal of Number Theory. Fitting ideals of class groups in a p extension, submitted. The 2-ideal class groups of Q submitted. Fitting ideals of class groups of real fields , with Cornelius Greither, submitted. Fitting ideals for e'tale and algebraic K-gropus of number rings , with Paul Arne Ostvaer, in preparation. If you want to contact me, feel free to drop me a

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

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon 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."

45. 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.

46. Lectures On Topological K-theory Lectures on Topological ktheory. More recently k-theory has become an important ingredient in the theory of D-branes from theoretical physics. http://online.itp.ucsb.edu/online/ktheory/

home activities inside KITP people ... Lectures on Topological K-theory ITP Small Seminar Room Fridays at 3:30 pm, Spring 2000 Friday, April 7, Xianzhe Dai, Introduction [Audio] Friday, April 14, Siye Wu, The Grothendieck construction [Audio] Friday, April 21, Bill Jacob, Algebraic K-theory (first steps) [Audio] Friday, April 28, Doug Moore, K-theory and cohomology Friday, May 5, Rick Ye, The Bott periodicity theorem [Audio] Friday, May 12, Joe Polchinski, D-branes and K-theory [Audio] Friday, May 19, Simeon Hellerman, D-branes and K-theory II [Audio] Friday, May 26, Morten Krogh, Ramond-Ramond fields and K-theory I [Audio] Friday, June 2, Morten Krogh, Ramond-Ramond fields and K-theory II [Audio] Friday, June 9, Siye Wu, K-theory, T-duality and D-brane anomalies [Audio] 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 its early applications to topology was a simple proof of the fact 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.

47. K-THEORY AND ALGEBRAIC CYCLES Translate this page http://www.dm.unibo.it/ktheory/

48. GLK8 Great Lakes ktheory Conference, VIII. University of Illinois, Urbana-Champaign; 27 April 2002. http://www.math.uiuc.edu/K-theory/Calendar/020427-GL8/

Great Lakes K-theory Conference, VIII The eighth annual Great Lakes K-theory Conference will be held April 27, 2002, at the University of Illinois at Urbana-Champaign . The conference is being organized by Dan Grayson and Randy McCarthy with the help of Eric Friedlander and Rick Jardine. If you might come, please let Dan Grayson know. Speakers and schedule: The talks will take place in room 165 Everitt Hall, which is just north of Altgeld Hall, across Green Street. The refreshments will be served in a classroom across the hall. Saturday, April 27, 2002: 9:30am, refreshments Eric Friedlander [Northwestern], Rational isomorphisms between K-theories and cohomology theories. 11:30am, lunch Alexander Merkurjev [UCLA], Steenrod operations and degree formulas. Marco Schlichting [UIUC], K-theory and triangulated categories. 3:30pm, refreshments Bertrand Toen , [Nice], Algebraic geometry over higher categories. Vladimir Voevodsky [IAS], Framed Correspondences.

49. The Math Forum - Math Library - K-Theory Browse and Search the Library Home Math Topics Algebra Modern Algebra ktheory. KT k-theory and Homology (Front for the Mathematics ArXiv) - Univ. http://mathforum.org/library/topics/k_theory/

Browse and Search the Library Home Math Topics Algebra Modern Algebra : K-Theory Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category K-Theory - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to K-theory, a 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; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> All Sites - 8 items found, showing 1 to 8 arXiv.org e-Print archive - Los Alamos National Laboratory (LANL) A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems, ...more>> Front for the Mathematics ArXiv - Univ. of California, Davis

50. Advanced Course On Group Actions An introduction to a conjecture due to P. Baum and A. Connes that there is a natural isomorphism between the equivariant Khomology of the classifying space EG for proper G-actions and the topological k-theory of the reduced C*-algebra of the group G. Centre de Recerca Matem tica, Universitat Aut²noma de Barcelona, Spain; 1822 September 2001. http://www.crm.es/PastActivities/Act2001-2002/coursegroupact.htm

Advanced course on group actions Schedule List of Participants Dates: September 18 to September 22, 2001 Place: Centre de Recerca Matemàtica Campus of the Universitat Autònoma de Barcelona Bellaterra, Spain Speakers: Guido Mislin (ETH Zürich) Equivariant K-homology of the classifying space for proper actions Alain Valette (Université de Neuchâtel) Topological K-theory of group C*-algebras Summary: Mislin will discuss the construction and the topological properties of EG. In particular, results will be presented concerning the (minimal) dimension of its G-homotopy type. An outline will be given of the following topics: Bredon cohomology and Mackey functors; equivariant homology via spectra over orbit categories; assembly maps; equivariant AtiyahHirzebruch spectral sequence; equivariant Chern character; computations involving groups of finite vcd, groups of rational cohomological dimension one and some other special classes of groups; the relationship of the BaumConnes Conjecture with other conjectures (Idempotent Conjecture, Zero-Divisor Conjecture, Atiyah Conjecture, Novikov Conjecture, GromovLawson Conjecture, Bass Conjecture). Valette will describe the right-hand side of the conjectured isomorphism (topological K-theory for C*-algebras) and will give the analyst's point of view on the left-hand side (analytical description of K-homology) and on the assembly map. The generalization with coefficients of the conjecture will be described, having better stability properties under various group constructions. Positive and negative results will be stated. The two series of lectures will proceed in parallel (7.5 hours each).

51. Great Lakes K-theory Conference, X, Final Announcement By Dan Grayson Great Lakes ktheory Conference, X, Final Announcement by Dan Grayson. reply to this message post a message on a new topic Back to sci.math.research http://mathforum.org/epigone/sci.math.research/dwalbleldclom

Great Lakes K-theory Conference, X, Final Announcement by Dan Grayson reply to this message post a message on a new topic Back to sci.math.research Subject: Great Lakes K-theory Conference, X, Final Announcement Author: dan@math.uiuc.edu Organization: Usenet @ UIUC - http://www.killfile.org/usenet/ Date: http://www.math.uiuc.edu/~dan/travel.html for a listing of other hotels. Getting there: See http://www.math.uiuc.edu/~dan/travel.html for instructions on traveling to the University of Illinois. Web page: See http://www.math.uiuc.edu/K-theory/Calendar/GL10/ for up to date information. The Math Forum

52. K-theory ktheory. 19Axx Grothendieck groups and K_0. 19Bxx Whitehead groups and K_1. 19Dxx Higher algebraic k-theory. 19Exx k-theory in geometry. http://www.iwr.uni-heidelberg.de/groups/compalg/gruber/WWW/19-XXmon.html

K-theory 19Axx Grothendieck groups and K_0 19Bxx Whitehead groups and K_1 19Cxx Steinberg groups and K_2 19Dxx Higher algebraic K-theory 19Exx K-theory in geometry 19Fxx K-theory in number theory 19Gxx K-theory of forms 19Jxx Obstructions from topology 19Lxx Topological K-theory 19M05 Miscellaneous applications of K-theory

53. Trace Methods In Algebraic K-Theory Workshop on Trace Methods in Algebraic ktheory. MÜNSTER (GERMANY). Monday, September 29 to Friday, October 3, 2003. Program. You may http://www.math.uni-muenster.de/u/varisco/tmakt/

Workshop on Trace Methods in Algebraic K-Theory Monday, September 29 to Friday, October 3, 2003 Program You may download an updated program of the workshop, with abstracts and schedule, in PostScript or PDF format. Participants Organizers Lars Hesselholt (Massachusetts Institute of Technology), Location Mathematisches Institut (Germany). The workshop will be supported by the SFB 478 "Geometrische Strukturen in der Mathematik". Contact information Please send an email to the organizers Workshop on Topological Modular Forms More information Marco Varisco - September 25, 2003 http://www.math.uni-muenster.de /u/varisco /tmakt

54. Dublin 2004 Workshop On K-Theory, Algebraic Groups And Related Structures Dublin 2004 Workshop on. ktheory, Algebraic Groups and Related Structures. k-theory and Arithmetic, M. Kolster, (McMaster University, Canada). http://maths.ucd.ie/~workshop2004/

Dublin 2004 Workshop on K-Theory, Algebraic Groups and Related Structures This workshop is part of the activities of the European Research and Training Network "Algebraic K-theory, Linear Algebraic Groups and Related Structures" (HPRN-CT-2002-00287) Third Announcement This workshop will take place at University College Dublin, Ireland, from July 5 to 8, 2004. (The week following ECM 2004 in Stockholm.) We hope that the workshop will be of particular interest to young researchers in areas related to those mentioned above. Main Speakers The morning sessions will consist of three short courses as follows: Algebras with Involution J.-P. Tignol K-Theory and Arithmetic M. Kolster (McMaster University, Canada) Linear Algebraic Groups U. Rehmann Invited and contributed talks will take place in the afternoon sessions. Invited Speakers R. Baeza (Universidad de Talca, Chile) R. Parimala (Tata Institute of Fundamental Research, India) Contributing Speakers A number of slots are available for contributed talks (2025 minutes) by "Young Researchers". If you want to give a talk, please indicate so on the Registration Form below.

55. Algebraic Cycles, K-Theory, And Modular Representation Theory Algebraic Cycles, ktheory, and. Modular Representation Theory. in Honor of the 60th birthday of. Eric Friedlander. Northwestern University. September 16-19, 2004. http://www.math.northwestern.edu/conferences/friedlander/

Algebraic Cycles, K-Theory, and Modular Representation Theory in Honor of the 60th birthday of Eric Friedlander Northwestern University September 16-19, 2004 Conference Poster Speakers Schedule Registration ... Local Dining The theme of the conference will be a survey of the state of the art in Algebraic cycles, K-Theory, and modular representation theory, in particular as influenced by the work of Eric Friedlander. The conference will feature several key-note talks which will survey the historical background, current state of development, and prospects for future progress in all of the focused areas. These talks will be particularly valuable for young researchers. Other talks will present recent developments in the three focused areas. Speakers (tentative): David Benson , University of Georgia Spencer Bloch , University of Chicago David Cox , Amherst College William Dwyer , University of Notre Dame Blaine Lawson , State University of New York, Stony Brook Steven Lichtenbaum , Brown University Barry Mazur

56. An Introduction To K-theory Prifysgol Cymru Abertawe/University of Wales Swansea, An Introduction to ktheory. Adran Fathemateg/Department of Mathematics. IKT, An Introduction to k-theory. Top. http://www-maths.swan.ac.uk/staff/fwc/IKT.html

An Introduction to K-theory University Mathematics Francis Clarke Research Interests ... Text An Introduction to K -theory IKT An Introduction to K-theory K th Transpenine Topology Triangle th The text of the lectures (pdf file) The text of the lectures (dvi file) The dvi version needs graphics file 1 (ps file) and graphics file 2 for printing or viewing (ps file) University Mathematics Francis Clarke Research Interests 21 January 2003 Webmaster

57. MathGuide: K-theory MathGuide ktheory (4 records). 1. Hopf Topology Archive. Subject Class, Algebraic topology; General topology; k-theory. Source http://www.mathguide.de/cgi-bin/ssgfi/anzeige.pl?db=math&sc=19

58. K-theory - Encyclopedia Article About K-theory. Free Access, No Registration Nee ktheory. Word Cambridge. He was one of the founders, with Friedrich Hirzebruch, of topological k-theory, a branch of algebraic topology. http://encyclopedia.thefreedictionary.com/K-theory

Dictionaries: General Computing Medical Legal Encyclopedia K-theory Word: Word Starts with Ends with Definition The topic of K-theory spans the subjects of algebraic topology Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces. The method of algebraic invariants The goal is to take topological spaces, and further categorize or classify them. An older name for the subject was combinatorial topology, implying an emphasis on how a space X was contructed from simpler ones. The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants: for example by mapping them to groups, which have a great deal of manageable structure, in a way that respects the relation of homeomorphism of spaces. Click the link for more information. abstract algebra Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. The term "abstract algebra" is used to distinguish the field from "elementary algebra" or "high school algebra" which teaches the correct rules for manipulating formulas and algebraic expressions involving real and complex numbers. Historically, algebraic structures usually arose first in some other field of mathematics, were specified axiomatically, and were then studied in their own right in abstract algebra. Because of this, abstract algebra has numerous fruitful connections to all other branches of mathematics.

59. Vector Bundles & K-Theory Book Vector Bundles ktheory. Here is a provisional Table of Contents. At present about half of the book is in good enough shape to http://www.math.cornell.edu/~hatcher/VBKT/VBpage.html

Here is a provisional Table of Contents At present about half of the book is in good enough shape to be posted online, approximately 110 pages. What is included in this installment is: Chapter 1, containing basics about vector bundles. Part of Chapter 2, introducing K-theory, then proving Bott periodicity in the complex case and Adams' theorem on the Hopf invariant, with its famous applications to division algebras and parallelizability of spheres. Not yet written is the proof of Bott Periodicity in the real case, with its application to vector fields on spheres. Most of Chapter 3, constructing Stiefel-Whitney, Chern, Euler, and Pontryagin classes and establishing their basic properties. Part of Chapter 4 on the stable J-homomorphism. What is written so far is just the application of complex K-theory, using the Chern character, to give a lower bound on the order of the image of the stable J-homomorphism. Much of this material is already well covered in other sources, notably the classic books of Atiyah and Milnor-Stasheff. Unfortunately these books have become quite expensive. The last time I checked amazon.com they were $55 and $65, which seems absurd for old books like these that aren't even nicely typeset. Eventually I intend for this book to include things that aren't readily accessible elsewhere, such as the full story on the stable J homomorphism.

60. Title Details - Cambridge University Press Home Catalogue ktheory for Operator Algebras. Related Areas Pure Mathematics. k-theory for Operator Algebras. Bruce Blackadar. £23.99. http://titles.cambridge.org/catalogue.asp?isbn=0521635322

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