Traces in Number Theory, Geometry and Quantum Fields: 38 (Aspects of Mathematics) - Hardcover

Hardcover

ISBN 10: 3834803715 ISBN 13: 9783834803719

Publisher: Vieweg+Teubner Verlag, 2007

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.

About this title

About the Author

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

Edition details

• Publisher: Vieweg+Teubner Verlag
• Publication date: 2007
• Language: English
• ISBN 10: 3834803715
• ISBN 13: 9783834803719
• Binding: Hardcover
• Number of pages: 232
• Editor: Albeverio Sergio, Marcolli Matilde, Paycha Sylvie, Plazas Jorge