8 citations · 12 across the 4 of their papers we have counts for
4 papers
Bost-Connes-Marcolli systems for Shimura varieties. I. Definitions and formal analytic properties
Eugene Ha, Frederic Paugam
We construct a quantum statistical mechanical system analogous to the systems constructed by Bost-Connes and Connes-Marcolli in the case of Shimura varieties. Along the way…
Quelques bords irrationnels de varietes de Shimura
Frederic Paugam
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…
Three examples of noncommutative boundaries of Shimura varieties
Frederic Paugam
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 al…
Galois representations, Mumford-Tate groups and good reduction of abelian varieties
Frederic Paugam
Let K be a number field and A an abelian variety over K. We are interested in the following conjecture of Morita: if the Mumford-Tate group of A does not contain unipotent Q-ration…