Traces in Number Theory, Geometry and Quantum Fields - Couverture rigide

 
9783834803719: Traces in Number Theory, Geometry and Quantum Fields

Synopsis

Traces and determinants arise in various guises in many areas of mathematics and mathematical physics: in regularization procedures in quantum fields theory, in the definition of correlation functions and partition functions, in index theory for manifolds and for noncommutative spaces, and in the study of dynamical systems, through zeta functions and zeta determinants, as well as in number theory in the study of zeta and L-functions. This volumes shows, through a series of concrete example, specific results as well as broad overviews, how similar methods based on traces and determinants arise in different perspectives in the fields of number theory, dynamical systems, noncommutative geometry, differential geometry and quantum field theory.

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À propos de l?auteur

Prof. Sergio Albeverio, Department of Probability Theory and Mathematical Statistics, University Bonn, Germany Prof. Matilde Marcolli, Max-Planck-Institute for Mathematics, Bonn, Germany Prof. Sylvie Paycha, Laboratoire de Mathematiques, Universite Blaise Pascal, France Prof. Jorge Plazas, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France

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Autres éditions populaires du même titre

9783834826770: Traces in Number Theory, Geometry and Quantum Fields

Edition présentée

ISBN 10 :  3834826774 ISBN 13 :  9783834826770
Editeur : Vieweg + Teubner Verlag, 2007
Couverture souple