A Caltech Library Service

Noncommutative Geometry and Arithmetic

Marcolli, Matilde (2010) Noncommutative Geometry and Arithmetic. .

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex multiplication for imaginary quadratic fields. This talk concentrates on two main aspects: the relation of Stark numbers to the geometry of noncommutative tori with real multiplication, and the shadows of modular forms on the noncommutative boundary of modular curves, that is, the moduli space of on commutative tori.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Additional Information:(Submitted on 18 Mar 2010).
Record Number:CaltechAUTHORS:20170712-133251099
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79018
Deposited By: Ruth Sustaita
Deposited On:12 Jul 2017 21:16
Last Modified:03 Oct 2019 18:15

Repository Staff Only: item control page