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Program list of speakers and topicsThere were four courses – each consisting of three lectures – nine invited talks, andtwelve short communications.CoursesJoachim Cuntz Cyclic homologyBernhard Keller DG-categoriesBoris Tsygan Characteristic classes in noncommutative geometryCharles Weibel Motivic cohomologyInvited talksPaul Balmer Triangular GeometryStefan Gille A Gersten–Witt complex for Azumaya algebras with involutionVictor Ginzburg Calabi–Yau algebrasAlexander Gorokhovsky Deformation quantization of étale groupoids and gerbesMaxim Kontsevich On the degeneration of the Hodge to de Rham spectralsequenceMarc Levine Algebraic cobordismWolfgang Lück The Farrell–Jones Conjecture for algebraic K-theory holdsfor word-hyperbolic groups and arbitrary coefficientsRalf Meyer Bivariant K-theory: where topology and analysis meetAmnon Neeman The homotopy category of flat modules and Grothendieck’slocal dualityRyszard Nest Applications of triangulated structure of KK-theory to quantumgroupsAndreas Thom Comparison between algebraic and topological K-theoryMariusz Wodzicki MegatraceCommunicationsMarian Anton Homological symbolsGrzegorz Banaszak An imbedding property of K-groupsUlrich Bunke Duality of topological abelian groups stacks and T -dualityLeandro Cagliero The cohomology ring of truncated quiver algebrasPaulo Carrillo Rouse An analytical index for Lie groupoids
xivProgram list of speakers and topicsGuillermo Cortiñas K-theory and homological obstructions to regularityMathias Fuchs Cyclic cohomology associated to higher rank latticesand the idempotents of the group ringImmaculada Gálvez Up-to-homotopy structures on vertex algebrasGrigory Garkusha Triangulated categories of ringsJuan José Guccione Relative cyclic homology of square zero extensionsFernando Muro On the 1-type of Waldhausen K-theoryWend Werner Ternary rings of operators, affine manifolds and causal structure
Page 3 and 4: EMS Series of Congress ReportsEMS S
Page 5 and 6: Editors:Guillermo CortiñasDepartam
Page 8 and 9: ContentsPreface....................
Page 10 and 11: IntroductionSince its inception 50
Page 12 and 13: Introductionxiwith D. Blecher, he c
Page 16 and 17: Categorical aspects of bivariant K-
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50 A. Bartels, S. Echterhoff, and W
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72 H. Emerson and R. MeyerIn this s
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74 H. Emerson and R. MeyerK-theoret
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76 H. Emerson and R. MeyerExample 4
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78 H. Emerson and R. Meyerand exact
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80 H. Emerson and R. Meyercondition
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82 H. Emerson and R. MeyerAs a resu
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84 H. Emerson and R. MeyerLet h and
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86 H. Emerson and R. MeyerCorollary
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88 H. Emerson and R. Meyer5 Dual-Di
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On K 1 of a Waldhausen categoryFern
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On K 1 of a Waldhausen category 93t
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On K 1 of a Waldhausen category 95(
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118 M. Karoubi[35], M. F. Atiyah an
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120 M. Karoubihere by GrK n .A/, ar
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122 M. Karoubi(resp. 1) in A. In th
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124 M. Karoubithe class ˛ of A in
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126 M. Karoubiested in the complex
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128 M. KaroubiThe same method may b
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130 M. KaroubiBy the usual excision
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132 M. KaroubiLet A be a graded twi
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134 M. Karoubithe same ideas as in
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136 M. KaroubiTheorem 6.2. 25 The (
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138 M. KaroubiIn order to show this
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140 M. KaroubiThe following theorem
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142 M. KaroubiWe would like to poin
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144 M. KaroubiZ=n identified with t
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146 M. Karoubiwhere n is the ring
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148 M. Karoubi[6] M. F. Atiyah, R.
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Equivariant cyclic homology for qua
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174 C. Voigtand using ˇ.x; y/ D .S
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176 C. Voigtalgebra A. The space Cn
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178 C. VoigtKK-theory [16]. Hence,
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A Schwartz type algebra for the tan
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202 J. CuntzWe denote by N the set
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204 J. CuntzConsider the action of
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206 J. Cuntzprime numbers p and q,
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208 J. Cuntz6 Representations as cr
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210 J. CuntzProof. The spectral pro
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212 J. CuntzThe operator s 1 plays
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214 J. CuntzProposition 7.4. The K-
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On a class of Hilbert C*-manifoldsW
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On a class of Hilbert C*-manifolds
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228 U. Bunke, T. Schick, M. Spitzwe
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Deformations of gerbes on smooth ma
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Torsion classes of finite type and
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Parshin’s conjecture revisitedTho
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428 C. WeibelGiven (0.4) and axiom
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430 C. WeibelAs pointed out in the
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432 C. WeibelConsider the cohomolog
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434 C. WeibelWe need to see that th
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List of contributorsArthur Bartels,
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List of participantsNatalia Abad Sa
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