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...
| Συγγραφή απο Οργανισμό/Αρχή: | |
|---|---|
| Άλλοι συγγραφείς: | , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Wiesbaden :
Vieweg,
2006.
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| Σειρά: | Aspects of Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
