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Regulators
 
Edited by: José Ignacio Burgos Gil ICMAT, Madrid, Spain
Rob de Jeu VU University Amsterdam, The Netherlands
James D. Lewis University of Alberta, Edmonton, AB, Canada
Juan Carlos Naranjo University of Barcelona, Barcelona, Spain
Wayne Raskind Arizona State University, Tempe, AZ
Xavier Xarles Universitat Autònoma de Barcelona, Barcelona, Catalunya, Spain
Regulators
Softcover ISBN:  978-0-8218-5322-1
Product Code:  CONM/571
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8987-9
Product Code:  CONM/571.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5322-1
eBook: ISBN:  978-0-8218-8987-9
Product Code:  CONM/571.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Regulators
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Regulators
Edited by: José Ignacio Burgos Gil ICMAT, Madrid, Spain
Rob de Jeu VU University Amsterdam, The Netherlands
James D. Lewis University of Alberta, Edmonton, AB, Canada
Juan Carlos Naranjo University of Barcelona, Barcelona, Spain
Wayne Raskind Arizona State University, Tempe, AZ
Xavier Xarles Universitat Autònoma de Barcelona, Barcelona, Catalunya, Spain
Softcover ISBN:  978-0-8218-5322-1
Product Code:  CONM/571
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8987-9
Product Code:  CONM/571.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5322-1
eBook ISBN:  978-0-8218-8987-9
Product Code:  CONM/571.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5712012; 276 pp
    MSC: Primary 14; 19; 11

    This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain.

    Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics.

    The articles in this volume are a reflection of the various approaches to this subject, such as results on motivic cohomology, descriptions of regulators, a revisiting of a number of fundamental conjectures (such as new results pertaining to the Hodge and standard conjectures), and more.

    Readership

    Graduate students and research mathematicians interested in number theory, K-theory, and algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Masanori Asakura — Quintic surface over $p$-adic local fields with infinite $p$-primary torsion in the Chow group of $0$-cycles
    • A. Beilinson — A remark on primitive cycles and Fourier-Radon transform
    • A. Beilinson — Remarks on Grothendieck’s standard conjectures
    • Amnon Besser — On the derivative of a normal function associated with a Deligne cohomology class
    • Jean-Louis Colliot-Thélène — Quelques cas d’annulation du troisième groupe de cohomologie non ramifiée
    • Frédéric Déglise — Coniveau filtration and mixed motives
    • Frédéric Déglise — Around the Gysin triangle I
    • Christopher Deninger — Regulators, entropy and infinite determinants
    • Marcello Felisatti and Frank Neumann — Secondary theories for étale groupoids
    • Thomas Geisser — Finite generation conjectures for motivic cohomology theories over finite fields
    • David Hébert — Le foncteur de filtration par le poids
    • Roy Joshua — K-Theory and G-Theory of DG-stacks
    • Alessio Del Padrone and Claudio Pedrini — Derived categories of coherent sheaves and motives of K3 surfaces
    • Wayne Raskind — Serre-Tate parameters and Jacobian inversion for rigid Calabi-Yau 3-folds
    • Andreas Rosenschon and V. Srinivas — An example concerning specialization of torsion subgroups of Chow groups
    • Jörg Wildeshaus — Motivic intersection complex
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5712012; 276 pp
MSC: Primary 14; 19; 11

This volume contains the proceedings of the Regulators III Conference, held from July 12 to July 22, 2010, in Barcelona, Spain.

Regulators can be thought of as realizations from motivic cohomology, which is very difficult to compute, to more computable theories such as Hodge, Betti, l-adic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics.

The articles in this volume are a reflection of the various approaches to this subject, such as results on motivic cohomology, descriptions of regulators, a revisiting of a number of fundamental conjectures (such as new results pertaining to the Hodge and standard conjectures), and more.

Readership

Graduate students and research mathematicians interested in number theory, K-theory, and algebraic geometry.

  • Articles
  • Masanori Asakura — Quintic surface over $p$-adic local fields with infinite $p$-primary torsion in the Chow group of $0$-cycles
  • A. Beilinson — A remark on primitive cycles and Fourier-Radon transform
  • A. Beilinson — Remarks on Grothendieck’s standard conjectures
  • Amnon Besser — On the derivative of a normal function associated with a Deligne cohomology class
  • Jean-Louis Colliot-Thélène — Quelques cas d’annulation du troisième groupe de cohomologie non ramifiée
  • Frédéric Déglise — Coniveau filtration and mixed motives
  • Frédéric Déglise — Around the Gysin triangle I
  • Christopher Deninger — Regulators, entropy and infinite determinants
  • Marcello Felisatti and Frank Neumann — Secondary theories for étale groupoids
  • Thomas Geisser — Finite generation conjectures for motivic cohomology theories over finite fields
  • David Hébert — Le foncteur de filtration par le poids
  • Roy Joshua — K-Theory and G-Theory of DG-stacks
  • Alessio Del Padrone and Claudio Pedrini — Derived categories of coherent sheaves and motives of K3 surfaces
  • Wayne Raskind — Serre-Tate parameters and Jacobian inversion for rigid Calabi-Yau 3-folds
  • Andreas Rosenschon and V. Srinivas — An example concerning specialization of torsion subgroups of Chow groups
  • Jörg Wildeshaus — Motivic intersection complex
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.