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School and Conference on Algebraic K-Theory and its Applications | (smr 1840)
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  • Monday, 14 May 2007
    • 08:30 - 10:00 Registration
      Location: Main Building, Lobby
      • 08:30 Registration 1h30'
    • 10:00 - 12:00 Free time for administrative formalities
      • 10:00 Free time for administrative formalities 2h0'
    • 12:00 - 14:00 Lunch Break
      • 12:00 Lunch Break 2h0'
    • 14:00 - 14:30 Opening Remarks
      • 14:00 Opening Remarks 30'
    • 14:30 - 15:30 $K_0(1), K_1(-)$
      • 14:30 $K_0(1), K_1(-)$ 1h0'
        Speaker: Eric Friedlander (Northwestern University, Evanston, USA)
        Material: lecture notes
    • 15:30 - 16:00 Coffee Break
      • 15:30 Coffee Break 30'
    • 16:00 - 17:00 Quadratic forms and their invariants
      • 16:00 Quadratic forms and their invariants 1h0'
        Speaker: Alexander Vishik (University of Nottingham, U.K.)
        Material: lecture notes
  • Tuesday, 15 May 2007
    • 10:00 - 11:00 Classifying spaces and higher K-theory
      • 10:00 Classifying spaces and higher K-theory 1h0'
        Speaker: Eric Friedlander
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Chow groups and motives
      • 11:30 Chow groups and motives 1h0'
        Speaker: Alexander Vishik
        Material: lecture notes
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 15:30 Topological K-theory
      • 14:30 Topological K-theory 1h0'
        Speaker: Eric Friedlander
        Material: lecture notes
    • 15:30 - 16:00 Coffee Break
      • 15:30 Coffee Break 30'
    • 16:00 - 17:00 Motives of quadrics
      • 16:00 Motives of quadrics 1h0'
        Speaker: Alexander Vishik
        Material: lecture notes
    • 18:30 - 20:30 Reception (Buffet Dinner at the Adriatico Guesthouse)
      Location: Adriatico Guest House Cafeteria
      • 18:30 Reception (Buffet Dinner at the Adriatico Guesthouse) 2h0'
  • Wednesday, 16 May 2007
    • 10:00 - 11:00 The group structure of SL_n over a field
      • 10:00 The group structure of SL_n over a field 1h0'
        Speaker: Ulf Rehmann (Universitaet Bielefeld, Germany)
        Material: abstract lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 K-theory and algebraic geometry
      • 11:30 K-theory and algebraic geometry 1h0'
        Speaker: Eric Friedlander
        Material: lecture notes
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 17:30 Free Afternoon
      • 14:30 Free Afternoon 3h0'
  • Thursday, 17 May 2007
    • 10:00 - 11:00 Linear algebraic groups over fields
      • 10:00 Linear algebraic groups over fields 1h0'
        Speaker: Ulf Rehmann
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Some difficult, long-standing problems
      • 11:30 Some difficult, long-standing problems 1h0'
        Speaker: Eric Friedlander
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Generic discrete and elementary discrete invariants of quadrics
      • 14:00 Generic discrete and elementary discrete invariants of quadrics 1h0'
        Speaker: Alexander Vishik
        Material: lecture notes
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:15 Root systems and Chevalley groups
      • 15:15 Root systems and Chevalley groups 1h0'
        Speaker: Ulf Rehmann
        Material: lecture notes
    • 16:15 - 16:30 Coffee Break
      • 16:15 Coffee Break 15'
    • 16:30 - 17:30 Beilinson's vision, partially fulfilled
      • 16:30 Beilinson's vision, partially fulfilled 1h0'
        Speaker: Eric Friedlander
        Material: lecture notes
  • Friday, 18 May 2007
    • 10:00 - 11:00 K-theoretic results for Chevalley groups
      • 10:00 K-theoretic results for Chevalley groups 1h0'
        Speaker: Ulf Rehmann
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Algebraic cobordism, Landweber-Novikov and Steenrod operations
      • 11:30 Algebraic cobordism, Landweber-Novikov and Steenrod operations 1h0'
        Speaker: Alexander Vishik
        Material: lecture notes
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 15:30 Structure and classification of almost simple algebraic groups
      • 14:30 Structure and classification of almost simple algebraic groups 1h0'
        Speaker: Ulf Rehmann
        Material: lecture notes
    • 15:30 - 16:00 Coffee Break
      • 15:30 Coffee Break 30'
    • 16:00 - 17:00 u-invariants of fields
      • 16:00 u-invariants of fields 1h0'
        Speaker: Alexander Vishik
        Material: lecture notes
  • Monday, 21 May 2007
    • 10:00 - 11:00 Pure motives
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Further K-theoretic results for simple algebraic groups
      • 11:30 Further K-theoretic results for simple algebraic groups 1h0'
        Speaker: Ulf Rehmann
        Material: lecture notes
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 15:30 Proof of the Bloch-Kato conjecture: Overview of the Proof
      • 14:30 Proof of the Bloch-Kato conjecture: Overview of the Proof 1h0'
        Speaker: Charles Weibel (Rutgers University, Piscataway, USA)
        Material: References lecture notes
    • 15:30 - 16:00 Coffee Break
      • 15:30 Coffee Break 30'
    • 16:00 - 17:00 Noncommutative locally affine "spaces' and schemes
      • 16:00 Noncommutative locally affine "spaces' and schemes 1h0'
        Speaker: Alexander Rosenberg (IHES, Bures-sur-Yvette, France)
        Material: lecture notes
  • Tuesday, 22 May 2007
    • 10:00 - 11:00 Motivic cohomology operations
      • 10:00 Motivic cohomology operations 1h0'
        Speaker: Charles Weibel
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Underlying topological spaces of noncommutative "spaces" and schemes
      • 11:30 Underlying topological spaces of noncommutative "spaces" and schemes 1h0'
        Speaker: Alexander Rosenberg
        Material: lecture notes
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 15:30 Mixed motives: conjectures and constructions
      • 14:30 Mixed motives: conjectures and constructions 1h0'
        Speaker: Marc Levine
        Material: lecture notes
    • 15:30 - 16:00 Coffee Break
      • 15:30 Coffee Break 30'
    • 16:00 - 17:00 Reduction to axioms
      • 16:00 Reduction to axioms 1h0'
        Speaker: Charles Weibel
        Material: lecture notes
  • Wednesday, 23 May 2007
    • 10:00 - 11:00 First notions and facts of non-Abelian homological algebra
      • 10:00 First notions and facts of non-Abelian homological algebra 1h0'
        Speaker: Alexander Rosenberg
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Motivic sheaves
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 17:30 Free Afternoon
      • 14:30 Free Afternoon 3h0'
  • Thursday, 24 May 2007
    • 10:00 - 11:00 Consequences and computations
      • 10:00 Consequences and computations 1h0'
        Speaker: Marc Levine
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Symmetric products of motives
      Location: Adriatico Guest House Kastler Lecture Hall
      • 11:30 Symmetric products of motives 1h0'
        Speaker: Charles Weibel
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 K-theory
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:15 Mixed motives and cycle complexes, I
      • 15:15 Mixed motives and cycle complexes, I 1h0'
        Speaker: Marc Levine
        Material: lecture notes
    • 16:15 - 16:30 Coffee Break
      • 16:15 Coffee Break 15'
    • 16:30 - 17:30 Uniqueness of bP^n
      • 16:30 Uniqueness of bP^n 1h0'
        Speaker: Charles Weibel
        Material: lecture notes
  • Friday, 25 May 2007
    • 10:00 - 11:00 Comparison theorems for higher K-theory: reduction by resolution, additivity, devissage
      • 10:00 Comparison theorems for higher K-theory: reduction by resolution, additivity, devissage 1h0'
        Speaker: Alexander Rosenberg
        Material: lecture notes
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Constructing the Rost motive
      • 11:30 Constructing the Rost motive 1h0'
        Speaker: Charles Weibel
        Material: lecture notes
    • 12:30 - 14:30 Lunch Break
      • 12:30 Lunch Break 2h0'
    • 14:30 - 15:30 Mixed motives and cycle complexes, II; Pure motives, II
      • 14:30 Mixed motives and cycle complexes, II; Pure motives, II 1h0'
        Speaker: Marc Levine
        Material: lecture notes
    • 15:30 - 16:00 Coffee Break
      • 15:30 Coffee Break 30'
    • 16:00 - 17:00 Towards some applications
      • 16:00 Towards some applications 1h0'
        Speaker: Alexander Rosenberg
  • Monday, 28 May 2007
    • 10:00 - 11:00 The conjecture of Birch and Swinnerton-Dyer is misleading
      • 10:00 The conjecture of Birch and Swinnerton-Dyer is misleading 1h0'
        Speaker: Stephen Lichtenbaum (Brown University, Providence, USA)
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Some remarks on surfaces
      • 11:30 Some remarks on surfaces 1h0'
        Speaker: Bruno Kahn (Institut de Mathematiques de Jussieu, Paris, France)
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Finiteness and infiniteness results for zero-cycles over p-adic fields
      • 14:00 Finiteness and infiniteness results for zero-cycles over p-adic fields 1h0'
        Speaker: Shuji Saito (Nagoya University, Japan)
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 15:45 Examples of reduction maps in K-theory and local-global principles
      • 15:15 Examples of reduction maps in K-theory and local-global principles 30'
        Speaker: Stefan Baranczuk (Universite' Louis Pasteur, Strasbourg, France)
    • 15:45 - 16:15 Coffee Break
      • 15:45 Coffee Break 30'
    • 16:15 - 17:15 Iwasawa theory for K_{2n}O_F
      • 16:15 Iwasawa theory for K_{2n}O_F 1h0'
        Speaker: Hourong Qin (Nanjing University, China)
    • 17:15 - 17:30 Break
      • 17:15 Break 15'
    • 17:30 - 18:00 Adelic resolutions for homology sheaves and their applications to K-cohomology
      • 17:30 Adelic resolutions for homology sheaves and their applications to K-cohomology 30'
        Speaker: Sergey Gorchinskiy (Steklov Mathematical Institute, Moscow, Russia)
  • Tuesday, 29 May 2007
    • 10:00 - 11:00 Homotopy invariant pre-sheaves with transfers on the category of smooth rigid varieties
      • 10:00 Homotopy invariant pre-sheaves with transfers on the category of smooth rigid varieties 1h0'
        Speaker: Joseph Ayoub (Ecole Normale Superieure, Paris, France)
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Farrell-Jones conjecture and K-theory of twisted polynomial and Laurent series rings
      • 11:30 Farrell-Jones conjecture and K-theory of twisted polynomial and Laurent series rings 1h0'
        Speaker: Aderemi Kuku (Max-Planck-Institut fuer Mathematik, Bonn, Germany)
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 On the Chow motive of surfaces
      • 14:00 On the Chow motive of surfaces 1h0'
        Speaker: Claudio Pedrini (Universita' degli Studi di Genova, Italy)
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 15:45 Homotopy sections of ideals over a Noetherian ring
      • 15:15 Homotopy sections of ideals over a Noetherian ring 30'
        Speaker: Shiv Datt Kumar (Motilal Nehru National Institute of Technology, Allahabad, India)
    • 15:45 - 16:15 Coffee Break
      • 15:45 Coffee Break 30'
    • 16:15 - 17:15 Iwasawa-invariants for certain etale cohomology groups
      • 16:15 Iwasawa-invariants for certain etale cohomology groups 1h0'
        Speaker: Manfred Kolster (McMaster University, Hamilton, Canada)
    • 18:30 - 20:30 Reception - Buffet Dinner at the Adriatico Guesthouse
      Location: Adriatico Guest House Cafeteria
      • 18:30 Reception - Buffet Dinner at the Adriatico Guesthouse 2h0'
  • Wednesday, 30 May 2007
    • 10:00 - 11:00 K_0 of non-commutative Iwasawa algebras and Mordell-Weil groups
      • 10:00 K_0 of non-commutative Iwasawa algebras and Mordell-Weil groups 1h0'
        Speaker: Sujatha Ramdorai (Tata Institute of Fundamental Research, Mumbai, India)
        Material: paper
    • 11:00 - 11:30 Coffee Break
      • 11:00 Coffee Break 30'
    • 11:30 - 12:30 Parshin's conjecture revisited
      • 11:30 Parshin's conjecture revisited 1h0'
        Speaker: Thomas Geisser (University of Southern California, Los Angeles, USA)
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 A p-adic Borel regulator
      • 14:00 A p-adic Borel regulator 1h0'
        Speaker: Guido Kings (Universitaet Regensburg, Germany)
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 15:45 Cohomological dimension of certain algebraic varieties
      • 15:15 Cohomological dimension of certain algebraic varieties 30'
        Speaker: Reza Naghipour (University of Tabriz, Iran)
    • 15:45 - 16:15 Coffee Break
      • 15:45 Coffee Break 30'
    • 16:15 - 17:15 Morphic cohomology and algebraic cycles
      • 16:15 Morphic cohomology and algebraic cycles 1h0'
        Speaker: Andreas Rosenschon (University of Alberta, Edmonton, Canada)
  • Thursday, 31 May 2007
    • 09:30 - 10:30 Mixed motivic sheaves and degeneration of varieties
      Location: Adriatico Guest House Kastler Lecture Hall
      • 09:30 Mixed motivic sheaves and degeneration of varieties 1h0'
        Speaker: Masaki Hanamura (Tohoku University, Sendai, Japan)
    • 10:30 - 11:00 Coffee Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 10:30 Coffee Break 30'
    • 11:00 - 12:00 K-theory for group C^*
      Location: Adriatico Guest House Kastler Lecture Hall
      • 11:00 K-theory for group C^* 1h0'
        Speaker: Paul Frank Baum (Pennsylvania State University, University Park, USA)
        Material: lecture notes
    • 12:00 - 12:15 Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 12:00 Break 15'
    • 12:15 - 12:45 J-invariant of algebraic groups and Chow motives of projective homogeneous varieties
      Location: Adriatico Guest House Kastler Lecture Hall
      • 12:15 J-invariant of algebraic groups and Chow motives of projective homogeneous varieties 30'
        Speaker: Nikita Semenov (Universitaet Munchen, Germany)
    • 12:45 - 15:45 Free Afternoon
      Location: Adriatico Guest House Kastler Lecture Hall
      • 12:45 Free Afternoon 3h0'
  • Friday, 1 June 2007
    • 09:30 - 10:30 Bass' NK groups and cdh-fibrant Hochschild homology
      • 09:30 Bass' NK groups and cdh-fibrant Hochschild homology 1h0'
        Speaker: Charles Weibel (Rutgers University, Piscataway, USA)
    • 10:30 - 10:45 Coffee Break
      • 10:30 Coffee Break 15'
    • 10:45 - 11:45 To be announced
      • 10:45 To be announced 1h0'
        Speaker: Alexander Vishik (University of Nottingham, UK)
    • 11:45 - 12:00 Break
      • 11:45 Break 15'
    • 12:00 - 12:30 Yang-Baxter condition, equivariance and cyclic cohomology
      • 12:00 Yang-Baxter condition, equivariance and cyclic cohomology 30'
        Speaker: Zoran Skoda (Rudjer Boskovic Institute, Zagreb, Croatia)
    • 12:30 - 13:00 The 4-ranks of tame kernels of quadratic fields
      • 12:30 The 4-ranks of tame kernels of quadratic fields 30'
        Speaker: Guo Xuejun (Nanjing University, China)
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