Noncommutative Geometry and Number Theory Where Arithmetic meets Geometry and Physics /

In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Consani, Caterina (Editor), Marcolli, Matilde (Editor)
Format: Electronic eBook
Language:Inglés
Published: Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 2006.
Edition:1st ed. 2006.
Series:Aspects of Mathematics
Subjects:
Geometry.
Online Access:Texto Completo
Table of Contents:
  • The Hecke algebra of a reductive p-adic group: a geometric conjecture
  • Hilbert modular forms and the Ramanujan conjecture
  • Farey fractions and two-dimensional tori
  • Transgressions of the Godbillon-Vey Class and Rademacher functions
  • Archimedean cohomology revisited
  • A twisted Burnside theorem for countable groups and Reidemeister numbers
  • to Hopf-Cyclic Cohomology
  • The non-abelian (or non-linear) method of Chabauty
  • The residues of quantum field theory - numbers we should know
  • Phase transitions with spontaneous symmetry breaking on Hecke C*-algebras from number fields
  • On harmonic maps in noncommutative geometry
  • Towards the fractional quantum Hall effect: a noncommutative geometry perspective
  • Homological algebra for Schwartz algebras of reductive p-adic groups
  • A non-commutative geometry approach to the representation theory of reductive p-adic groups: Homology of Hecke algebras, a survey and some new results
  • Three examples of non-commutative boundaries of Shimura varieties
  • Holomorphic bundles on 2-dimensional noncommutative toric orbifolds
  • A New short proof of the local index formula of Atiyah-Singer.

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