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An Isaac Newton Institute Workshop

Noncommutative Geometry and Cyclic Cohomology

Noncommutative Geometry on Q-Spaces of Q-Lattices

Author: Henri Moscovici (Ohio State University)

Abstract

This is joint work, in progress, with A. Connes on the complex geometry of the quotient space of rank 2 Q-lattices modulo commensurability. It builds on our prior work on modular Hecke algebras and their Hopf symmetry, and on the Connes-Marcolli C*-algebraic framework for Q-lattice spaces.

The emerging spectral-geometric picture, modeled on the transverse geometry of a generic codimension 1 foliation, has notable arithmetic overtones.