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Electronic ISBN:  9780821889879 
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Book DetailsContemporary MathematicsVolume: 571; 2012MSC: 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, ladic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic Ktheory, 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.ReadershipGraduate students and research mathematicians interested in number theory, Ktheory, 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 FourierRadon transform

A. Beilinson  Remarks on Grothendieck’s standard conjectures

Amnon Besser  On the derivative of a normal function associated with a Deligne cohomology class

JeanLouis ColliotThélène  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  KTheory and GTheory of DGstacks

Alessio Del Padrone and Claudio Pedrini  Derived categories of coherent sheaves and motives of K3 surfaces

Wayne Raskind  SerreTate parameters and Jacobian inversion for rigid CalabiYau 3folds

Andreas Rosenschon and V. Srinivas  An example concerning specialization of torsion subgroups of Chow groups

Jörg Wildeshaus  Motivic intersection complex


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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, ladic, and Deligne cohomology. It is a very intricate subject that thrives on its interaction with algebraic Ktheory, 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.
Graduate students and research mathematicians interested in number theory, Ktheory, 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 FourierRadon transform

A. Beilinson  Remarks on Grothendieck’s standard conjectures

Amnon Besser  On the derivative of a normal function associated with a Deligne cohomology class

JeanLouis ColliotThélène  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  KTheory and GTheory of DGstacks

Alessio Del Padrone and Claudio Pedrini  Derived categories of coherent sheaves and motives of K3 surfaces

Wayne Raskind  SerreTate parameters and Jacobian inversion for rigid CalabiYau 3folds

Andreas Rosenschon and V. Srinivas  An example concerning specialization of torsion subgroups of Chow groups

Jörg Wildeshaus  Motivic intersection complex