Scientific Calendar Event



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  • Monday, 8 July 2002
    • 08:30 - 12:00 Registration and administrative formalities
      • 08:30 Registration and administrative formalities 3h30'
    • 14:15 - 14:30 Opening
      • 14:15 Opening 15'
    • 14:30 - 15:30 K-theory and Algebraic Topology - The plus construction and higher K.
      • 14:30 K-theory and Algebraic Topology - The plus construction and higher K. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 16:00 - 17:00 K-theory and Non-Commutative Geometry - Elliptic operators and index problems.
      • 16:00 K-theory and Non-Commutative Geometry - Elliptic operators and index problems. 1h0'
        Speaker: N. Higson (Pennsylvania State University, U.S.A)
  • Tuesday, 9 July 2002
    • 09:30 - 10:30 K-theory and Algebraic Topology - The plus construction as a localization.
      • 09:30 K-theory and Algebraic Topology - The plus construction as a localization. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 11:00 - 12:00 K-theory and Representation Theory - Category of representations and constructions of Grothendieck groups and rings.
      • 11:00 K-theory and Representation Theory - Category of representations and constructions of Grothendieck groups and rings. 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
    • 14:30 - 15:30 K-theory and Non-Commutative Geometry - Pseudodifferential operators.
      • 14:30 K-theory and Non-Commutative Geometry - Pseudodifferential operators. 1h0'
        Speaker: N. Higson (Pennsylvania State University, U.S.A)
    • 16:00 - 17:00 K-theory and Representation Theory - K-theory of exact categories, orders, group-rings and modules over 'EI' categories.
      • 16:00 K-theory and Representation Theory - K-theory of exact categories, orders, group-rings and modules over 'EI' categories. 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
  • Wednesday, 10 July 2002
    • 09:30 - 10:30 K-theory and Non-Commutative Geometry - Cyclic cohomology
      • 09:30 K-theory and Non-Commutative Geometry - Cyclic cohomology 1h0'
        Speaker: N. Higson (Pennsylvania State University, U.S.A)
    • 11:00 - 12:00 K-theory and Algebraic Topology - Other constructions for higher K.
      • 11:00 K-theory and Algebraic Topology - Other constructions for higher K. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 14:30 - 15:30 A Survey of the Developments of K-theory in the last 45 years - The beginning of K-theory: Grothendieck, Atiyah-Hirzebruch.
      • 14:30 A Survey of the Developments of K-theory in the last 45 years - The beginning of K-theory: Grothendieck, Atiyah-Hirzebruch. 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
    • 16:00 - 17:00 K-theory and Representation Theory - Mackey, Green and Burnside functors plus induction theory for finite and compact Lie groups.
      • 16:00 K-theory and Representation Theory - Mackey, Green and Burnside functors plus induction theory for finite and compact Lie groups. 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
  • Thursday, 11 July 2002
    • 09:30 - 10:30 K-theory and Algebraic Topology - Topological Hochschild and cyclic homology: methods.
      • 09:30 K-theory and Algebraic Topology - Topological Hochschild and cyclic homology: methods. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 11:00 - 12:00 A Survey of the Developments of K-theory in the last 45 years - K-theory of Banach algebras. Periodicity theorems of Bott.
      • 11:00 A Survey of the Developments of K-theory in the last 45 years - K-theory of Banach algebras. Periodicity theorems of Bott. 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
    • 14:30 - 15:30 K-theory and Non-Commutative Geometry - Index cocycles.
      • 14:30 K-theory and Non-Commutative Geometry - Index cocycles. 1h0'
        Speaker: N. Higson (Pennsylvania State University, U.S.A)
    • 16:00 - 17:00 K-theory and Representation Theory - Equivariant Higher Algebraic K-theory plus relative generalisations (for finite group actions).
      • 16:00 K-theory and Representation Theory - Equivariant Higher Algebraic K-theory plus relative generalisations (for finite group actions). 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
  • Friday, 12 July 2002
    • 09:30 - 10:30 A Survey of the Developments of K-theory in the last 45 years - Applications of topological K-theory. The Atiyah-Singer index theorem.
      • 09:30 A Survey of the Developments of K-theory in the last 45 years - Applications of topological K-theory. The Atiyah-Singer index theorem. 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
    • 11:00 - 12:00 K-theory and Algebraic Topology - Topological Hochschild and cyclic homology: results.
      • 11:00 K-theory and Algebraic Topology - Topological Hochschild and cyclic homology: results. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 14:30 - 15:30 K-theory and Representation Theory - Equivariant Higher Algebraic K-theory for profinite and compact Lie groups actions.
      • 14:30 K-theory and Representation Theory - Equivariant Higher Algebraic K-theory for profinite and compact Lie groups actions. 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
    • 16:00 - 17:00 A Survey of the Developments of K-theory in the last 45 years - Algebraic K-theory of Bass and Milnor. Applications.
      • 16:00 A Survey of the Developments of K-theory in the last 45 years - Algebraic K-theory of Bass and Milnor. Applications. 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
  • Monday, 15 July 2002
    • 09:30 - 10:30 K-theory and Arithmetics - Special values of zeta-functions for curves over finite fields.
      • 09:30 K-theory and Arithmetics - Special values of zeta-functions for curves over finite fields. 1h0'
        Speaker: M. Kolster (McMaster University, Hamilton, Canada)
    • 11:00 - 12:00 A Survey of the Developments of K-theory in the last 45 years - Higher Algebraic K-theory. Some computations.
      • 11:00 A Survey of the Developments of K-theory in the last 45 years - Higher Algebraic K-theory. Some computations. 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
    • 14:30 - 15:30 K-theory and Algebraic Topology - Rings of integers.
      • 14:30 K-theory and Algebraic Topology - Rings of integers. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 16:00 - 17:00 A Survey of the Developments of K-theory in the last 45 years - Hermitian K-theory
      • 16:00 A Survey of the Developments of K-theory in the last 45 years - Hermitian K-theory 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
  • Tuesday, 16 July 2002
    • 09:30 - 10:30 Introduction to A^1-homotopy theory - A^1-homotopy theory of simplicial sheaves.
      • 09:30 Introduction to A^1-homotopy theory - A^1-homotopy theory of simplicial sheaves. 1h0'
        Speaker: F. Morel (Universite' Paris 7, France)
    • 11:00 - 12:00 K-theory and Arithmetics - K-theory of number rings.
      • 11:00 K-theory and Arithmetics - K-theory of number rings. 1h0'
        Speaker: M. Kolster (McMaster University, Hamilton, Canada)
    • 14:30 - 15:30 K-theory and Non-Commutative Geometry - Cyclic cohomology for Hopf algebras.
      • 14:30 K-theory and Non-Commutative Geometry - Cyclic cohomology for Hopf algebras. 1h0'
        Speaker: N. Higson (Pennsylvania State University, U.S.A)
    • 16:00 - 17:00 Introduction to A^1-homotopy theory - Recollections on homotopy theory of simplicial sheaves.
      • 16:00 Introduction to A^1-homotopy theory - Recollections on homotopy theory of simplicial sheaves. 1h0'
        Speaker: F. Morel (Universite' Paris 7, France)
  • Wednesday, 17 July 2002
    • 09:30 - 10:30 Introduction to A^1-homotopy theory - Stable A^1-homotopy theory: connectivity theorem and the t-structure.
      • 09:30 Introduction to A^1-homotopy theory - Stable A^1-homotopy theory: connectivity theorem and the t-structure. 1h0'
        Speaker: F. Morel (Universite' Paris 7, France)
    • 11:00 - 12:00 K-theory and Arithmetics - Chern characters.
      • 11:00 K-theory and Arithmetics - Chern characters. 1h0'
        Speaker: M. Kolster (McMaster University, Hamilton, Canada)
    • 14:30 - 15:30 K-theory and Algebraic Topology - The stable mapping class group.
      • 14:30 K-theory and Algebraic Topology - The stable mapping class group. 1h0'
        Speaker: A. Berrick (National University of Singapore)
    • 16:00 - 17:00 A Survey of the Developments of K-theory in the last 45 years - Cyclic Homology and the Chern character
      • 16:00 A Survey of the Developments of K-theory in the last 45 years - Cyclic Homology and the Chern character 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
  • Thursday, 18 July 2002
    • 09:30 - 10:30 Introduction to A^1-homotopy theory - Stable A^1-homotopy theory: orientable ring spectra Algebraic cobordism and Algebraic K-theory.
      • 09:30 Introduction to A^1-homotopy theory - Stable A^1-homotopy theory: orientable ring spectra Algebraic cobordism and Algebraic K-theory. 1h0'
        Speaker: F. Morel (Universite' Paris 7, France)
    • 11:00 - 12:00 K-theory and Representation Theory - G-spectrum formulation for equivariant Higher Algebraic K-theory.
      • 11:00 K-theory and Representation Theory - G-spectrum formulation for equivariant Higher Algebraic K-theory. 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
    • 14:30 - 15:30 K-theory and Arithmetics - Relations to Iwasawa theory.
      • 14:30 K-theory and Arithmetics - Relations to Iwasawa theory. 1h0'
        Speaker: M. Kolster (McMaster University, Hamilton, Canada)
    • 16:00 - 17:00 Introduction to A^1-homotopy theory - Motivic cohomology, rational stable A^1-homotopy theory and rational mixed motives.
      • 16:00 Introduction to A^1-homotopy theory - Motivic cohomology, rational stable A^1-homotopy theory and rational mixed motives. 1h0'
        Speaker: F. Morel (Universite' Paris 7, France)
  • Friday, 19 July 2002
    • 09:30 - 10:30 A Survey of the Developments of K-theory in the last 45 years - One application of Algebraic K-theory to number theory.
      • 09:30 A Survey of the Developments of K-theory in the last 45 years - One application of Algebraic K-theory to number theory. 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
    • 11:00 - 12:00 K-theory and Non-Commutative Geometry - Transverse index theory.
      • 11:00 K-theory and Non-Commutative Geometry - Transverse index theory. 1h0'
        Speaker: N. Higson (Pennsylvania State University, U.S.A)
    • 14:30 - 15:30 Introduction to A^1-homotopy theory - $pi_0(S^0)$ and Grothendieck-Witt ring of quadratic forms.
      • 14:30 Introduction to A^1-homotopy theory - $pi_0(S^0)$ and Grothendieck-Witt ring of quadratic forms. 1h0'
        Speaker: F. Morel (Universite' Paris 7, France)
    • 16:00 - 17:00 K-theory and Arithmetics - The Lichtenbaum conjecture.
      • 16:00 K-theory and Arithmetics - The Lichtenbaum conjecture. 1h0'
        Speaker: M. Kolster (McMaster University, Hamilton, Canada)
  • Monday, 22 July 2002
    • 09:15 - 09:30 Opening
      • 09:15 Opening 15'
    • 09:30 - 10:30 Equivariant Asanuma Algebras
      • 09:30 Equivariant Asanuma Algebras 1h0'
        Speaker: H. Bass (University of Michigan, Ann Arbor, U.S.A.)
    • 10:45 - 11:45 Morphic cohomology to semi-topological K-theory
      • 10:45 Morphic cohomology to semi-topological K-theory 1h0'
        Speaker: E. Friedlander (Northwestern University, Evanston, U.S.A.)
    • 12:00 - 12:30 The homotopy limit problem for algebraic K-theory at the prime 2
      • 12:00 The homotopy limit problem for algebraic K-theory at the prime 2 30'
        Speaker: A. Rosenschon (Duke University, Durham, U.S.A.)
    • 14:15 - 15:15 Fundamental classes in Algebraic Cobordism
      • 14:15 Fundamental classes in Algebraic Cobordism 1h0'
        Speaker: M. Levine (Northeastern University, Boston, U.S.A.)
    • 15:45 - 16:45 Rational and numerical equivalences on products of elliptic curves over a finite field
      • 15:45 Rational and numerical equivalences on products of elliptic curves over a finite field 1h0'
        Speaker: B. Kahn (Universite' Paris 7, France)
    • 17:00 - 18:00 Beilinson's, Hodge and Tate conjectures and injectivity of the regulator maps
      • 17:00 Beilinson's, Hodge and Tate conjectures and injectivity of the regulator maps 1h0'
        Speaker: S. Saito (Nagoya University, Japan)
    • 18:30 - 19:30 Reception
      Location: Main Building Terrace
      • 18:30 Reception 1h0'
  • Tuesday, 23 July 2002
    • 09:30 - 10:30 Equivariant K-theory of real vector spaces and the theory of partitions
      • 09:30 Equivariant K-theory of real vector spaces and the theory of partitions 1h0'
        Speaker: M. Karoubi (Universite' Paris 7, France)
    • 10:45 - 11:45 Projective configurations, homology of orthogonal groups and Milnor K-theory
      • 10:45 Projective configurations, homology of orthogonal groups and Milnor K-theory 1h0'
        Speaker: J.-L. Cathelineau (Universite' de Nice, France)
    • 12:00 - 12:30 Invariant Cyclic Homology
      • 12:00 Invariant Cyclic Homology 30'
        Speaker: B. Rangipour (University of Western Ontario, London, Canada)
    • 14:15 - 15:15 Finite dimensional motives and the conjectures of Bloch and Beilinson
      • 14:15 Finite dimensional motives and the conjectures of Bloch and Beilinson 1h0'
        Speaker: C. Pedrini (Universita' di Genova, Italy)
    • 15:45 - 16:45 The formalism of cross functors
      • 15:45 The formalism of cross functors 1h0'
        Speaker: V. Voevodsky (Institute for Advanced Study, Princeton, U.S.A)
    • 17:00 - 18:00 Presheaves of chain complexes
      • 17:00 Presheaves of chain complexes 1h0'
        Speaker: R. Jardine (University of Western Ontario, London, Canada)
  • Wednesday, 24 July 2002
    • 09:30 - 10:30 Equivariant Chern characters and applications to K- and L- theory
      • 09:30 Equivariant Chern characters and applications to K- and L- theory 1h0'
        Speaker: W. Lueck (University of Muenster, Germany)
    • 10:45 - 11:45 Trees, buildings, symmetric spaces, and K-theory for group C^*-algebras
      • 10:45 Trees, buildings, symmetric spaces, and K-theory for group C^*-algebras 1h0'
        Speaker: P. Baum (Pennsylvania State University, University Park, U.S.A.)
    • 12:00 - 12:30 Towards the Baum-Connes? analytical assembly map for actions of discrete quantum groups
      • 12:00 Towards the Baum-Connes? analytical assembly map for actions of discrete quantum groups 30'
        Speaker: D. Goswami (ICTP, Trieste, Italy)
    • 14:10 - 14:40 Higher K-theory of group-rings of virtually infinite cyclic groups
      • 14:10 Higher K-theory of group-rings of virtually infinite cyclic groups 30'
        Speaker: G. Tang (Northwestern Polytechnical University, Xian, China)
    • 14:45 - 15:15 Algebraic K-theory of group rings and topological cyclic homology
      • 14:45 Algebraic K-theory of group rings and topological cyclic homology 30'
        Speaker: M.E. Varisco (University of Muenster, Germany)
    • 15:45 - 16:45 Profinite and continuous higher K-theory of exact categories, schemes and orders
      • 15:45 Profinite and continuous higher K-theory of exact categories, schemes and orders 1h0'
        Speaker: A.O. Kuku (ICTP, Trieste, Italy)
    • 17:00 - 18:00 Bass conjecture for group-rings/Intertwiners and K-theory for commutative rings
      • 17:00 Bass conjecture for group-rings/Intertwiners and K-theory for commutative rings 1h0'
        Speaker: A.J. Berrick (National University of Singapore)
  • Thursday, 25 July 2002
    • 09:30 - 10:30 Relative K_0, annihilators, fitting ideals and the Stickelberger phenomena
      • 09:30 Relative K_0, annihilators, fitting ideals and the Stickelberger phenomena 1h0'
        Speaker: V. Snaith (University of Southampton, U.K.)
    • 10:45 - 11:45 K-theory of symmetric products of symmetric spaces
      • 10:45 K-theory of symmetric products of symmetric spaces 1h0'
        Speaker: C. Weibel (Rutgers University, New Brunswick, U.S.A.)
    • 12:00 - 12:30 Proof of the KABI Conjecture
      • 12:00 Proof of the KABI Conjecture 30'
        Speaker: G.H. Cortinas (Universidad de Buenos Aires, Argentina)
    • 14:15 - 15:15 K-theory with coefficients and index theory on manifolds with singularities
      • 14:15 K-theory with coefficients and index theory on manifolds with singularities 1h0'
        Speaker: J. Rosenberg (University of Maryland, College Park, U.S.A.)
    • 15:45 - 16:45 The Weyl-etale topology
      • 15:45 The Weyl-etale topology 1h0'
        Speaker: S. Lichtenbaum (Brown University, Providence, U.S.A.)
    • 17:00 - 18:00 Squeezing in Algebraic K-theory
      • 17:00 Squeezing in Algebraic K-theory 1h0'
        Speaker: E. Pedersen (SUNY at Binghamton, U.S.A.)
  • Friday, 26 July 2002
    • 09:30 - 10:30 Riemann-Roch type theorems for oriented cohomology
      • 09:30 Riemann-Roch type theorems for oriented cohomology 1h0'
        Speaker: I. Panin (Steklov Ins. Maths, St. Petersburg, Russia)
    • 10:45 - 11:45 1-motives versus mixed motives
      • 10:45 1-motives versus mixed motives 1h0'
        Speaker: L. Barbieri-Viale (Universita' di Roma "La Sapienza", Italy)
    • 11:50 - 12:20 Localization in Hermitian K-theory
      • 11:50 Localization in Hermitian K-theory 30'
        Speaker: M. Schlichting (University of Illinois,Urbana Champaign, USA)
    • 14:15 - 15:15 Algebraic K-theory and trace invariants
      • 14:15 Algebraic K-theory and trace invariants 1h0'
        Speaker: L. Hesselholt (M.I.T., Cambridge, U.S.A.)
    • 15:30 - 16:00 Excision in bivariant periodic cyclic cohomology: a categorical approach
      • 15:30 Excision in bivariant periodic cyclic cohomology: a categorical approach 30'
        Speaker: C. Valqui (IMCA, Lima, Peru)
    • 16:05 - 16:35 Algebraic K-theory of non-linear sheaves on toric varieties
      • 16:05 Algebraic K-theory of non-linear sheaves on toric varieties 30'
        Speaker: T. Huettemann (University of Aberdeen, U.K.)