Identifiant pérenne de la notice : 218144865
Notice de type
Notice de regroupement
Note publique d'information : 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 that point to possible new connections between the
fields of number theory, algebraic geometry and noncommutative geometry. The articles
collected in this volume present new noncommutative geometry perspectives on classical
topics of number theory and arithmetic such as modular forms, class field theory,
the theory of reductive p-adic groups, Shimura varieties, the local Lfactors of arithmetic
varieties. They also show how arithmetic appears naturally in noncommutative geometry
and in physics, in the residues of Feynman graphs, in the properties of noncommutative
tori, and in the quantum Hall effect