Regulators : Regulators III Conference, July 12-22, 2010, Barcelona, Spain / José Ignacio Burgos Gil [and five others], editors.

Format:

Book

Conference/Event

Contributor:

Burgos Gil, José I. (José Ignacio), 1962- editor.

Conference Name:

Regulators (3rd : 2010 : Barcelona, Spain), issuing body.

Series:

Contemporary mathematics, 0271-4132 571

Contemporary mathematics, 571 0271-4132

Language:

English

Subjects (All):

Regulators (Mathematics)--Congresses.

Regulators (Mathematics).

Physical Description:

1 online resource (290 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2012]

Language Note:

English

Summary:

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.

Contents:

Preface

Speakers and titles of talks

Quintic surface over -adic local fields with infinite -primary torsion in the Chow group of 0-cycles

1. Introduction

2. Preliminaries

3. Quintic surface containing a curve with 4-nodes

4. Construction of the Quintic surface

5. Appendix: Igusa's -invariants

References

A remark on primitive cycles and Fourier-Radon transform

Remarks on Grothendieck's standard conjectures

1. The motivic t-structure conjecture yields the standard conjectures

Introduction

Acknowledgments

Notations and conventions

1. Motivic coniveau exact couple

2. Cohomological realization

Around the Gysin triangle I

1. Preliminary (on notations and examples)

2. The Gysin triangle

3. Associativity in the Gysin triangle

4. Gysin morphisms in the general case

Regulators, entropy and infinite determinants

2. The archimedian case

3. The non-archimedian case

5. The integral Tate conjecture

Le foncteur de filtration par le poids

1. Rappels, notations et terminologie.

2. Structure de poids.

3. Foncteur de filtration.

Remerciements

K-Theory and G-Theory of DG-stacks

1. Introduction.

2. Fundamentals of the K-theory and G-theory of algebraic stacks

3. Fundamentals of DG-stacks

4. K-Theory of projective space bundles

5. G-theory of dg-stacks: devissage, localization and homotopy property

6. Cohomology and Homology theories for Dg-stacks

7. Appendix A: Key theorems of Waldhausen K-theory.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8987-7