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...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
2006, 2006
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| Edition: | 1st ed. 2006 |
| Series: | Aspects of Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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