# Quelques bords irrationnels de varietes de Shimura

@article{Paugam2004QuelquesBI, title={Quelques bords irrationnels de varietes de Shimura}, author={Fr'ed'eric Paugam}, journal={arXiv: Algebraic Geometry}, year={2004} }

We are looking for a formulation of Manin's real multiplication question in higher rank. This question comports, in our point of view, at least two steps:
1. a formalisation of the linear algebra side of the story in terms of morphisms of algebraic groups analogous to Shimura and Deligne's point of view of the theory of complex multiplication.
2. a work of noncommutative algebraic geometry.
We are interested only by the first step, and recall the known results in the litterature on the…

## 2 Citations

### Three examples of noncommutative boundaries of Shimura varieties

- Mathematics
- 2004

We study the noncommutative modular curve (which was already studied by Connes, Manin and Marcolli), and the space of geodesics on the usual modular curve, from the viewpoint of algebraic groups,…

### Lectures on Arithmetic Noncommutative Geometry

- Mathematics
- 2004

This is the text of a series of five lectures given by the author at the "Second Annual Spring Institute on Noncommutative Geometry and Operator Algebras" held at Vanderbilt University in May 2004.…

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