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Book DetailsContemporary MathematicsVolume: 571; 2012; 276 ppMSC: 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