A Nonstandard Approach to Real Multiplication
arXiv:math/0612184
Abstract
We explore the possibility of using Model Theoretic ideas to study certain non-Hausdorff spaces knwon as Quantum Tori with a view to their application to Manin's theory of Real Multiplication. We study the morphisms between these spaces using Nonstandard Analysis, and describe an action of a certain Galois group on a certain classes of these spaces.
20 pages. Adapted from a chapter of the author's PhD thesis