Regulators : Regulators III Conference, July 12-22, 2010, Barcelona, Spain

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 Deli...

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Hauptverfasser: Regulators, Burgos Gil, José Ignacio
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, R.I American Mathematical Society 2012
Schriftenreihe:Contemporary mathematics
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ISBN:9780821853221, 0821853228
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Abstract 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.
AbstractList 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.
Author Regulators
Burgos Gil, José Ignacio
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Notes Includes bibliographical references
Other Editors: Rob de Jeu, James D. Lewis, Juan Carlos Naranjo, Wayne Raskind, Xavier Xarles
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Snippet 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...
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SubjectTerms Algebraic geometry -- (Co)homology theory -- (Co)homology theory. msc
Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic problems. Diophantine geometry. msc
Algebraic geometry -- Cycles and subschemes -- Cycles and subschemes. msc
Algebraic geometry -- Families, fibrations -- Families, fibrations. msc
Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic algebraic geometry (Diophantine geometry). msc
Regulators (Mathematics)
Regulators (Mathematics) -- Congresses
Title Regulators : Regulators III Conference, July 12-22, 2010, Barcelona, Spain
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