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Sinopsis
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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Acerca del autor
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, Université Blaise Pascal, France
Prof. Jorge Plazas, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France
De la contraportada
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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