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OverviewFull Product DetailsAuthor: Gunther Cornelissen , Norbert PeyerimhoffPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2023 Weight: 0.209kg ISBN: 9783031277030ISBN 10: 3031277031 Pages: 111 Publication Date: 11 May 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsChapter. 1. Introduction.- Part I: Leitfaden.- Chapter. 2. Manifold and orbifold constructions.- Chapter. 3. Spectra, group representations and twisted Laplacians.- Chapter. 4. Detecting representation isomorphism through twisted spectra.- Chapter. 5. Representations with a unique monomial structure.- Chapter. 6. Construction of suitable covers and proof of the main theorem.- Chapter. 7. Geometric construction of the covering manifold.- Chapter. 8. Homological wideness.- Chapter. 9. Examples of homologically wide actions.- Chapter. 10. Homological wideness, “class field theory” for covers, and a number theoretical analogue.- Chapter. 11. Examples concerning the main result.- Chapter. 12. Length spectrum.- References.- Index.ReviewsAuthor InformationGunther Cornelissen holds the chair of geometry and number theory at Utrecht University. He earned his PhD from Ghent University in 1997 and has held visiting positions at institutions such as the Max Planck Institute for Mathematics in Bonn, Leuven University, California Institute of Technology and the University of Warwick. His research focuses on Arithmetic Geometry, particularly in positive characteristic, and also branches off into areas such as Spectral Geometry, Undecidability, Algebraic Dynamics and Graph Algorithms. Norbert Peyerimhoff received his PhD in Mathematics in 1993 from the University of Augsburg. He held postdoctoral positions at the City University of New York, was an Assistant at the University of Basel and at the Ruhr University Bochum, before moving to Durham University (United Kingdom) in 2004. He has been a Professor of Geometry at Durham University since 2013, and his research interests include Differential Geometry, Discrete Geometry,Lie groups, Dynamical Systems, Spectral Theory and X-Ray Crystallography. Tab Content 6Author Website:Countries AvailableAll regions |