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Lectures on Arithmetic Noncommutative Geometry

2004/09/27 by Matilde Marcolli, Marcolli, Matilde
Mathematics · Physics and Astronomy · #11G35 #14G40 #37B10 #46L87 #58B34 #81E30 #82A15 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math-ph #math.AG #math.MP #math.NT #math.OA #math.QA #msc:11G35 #msc:14G40 #msc:37B10 #msc:46L87 #msc:58B34 #msc:81E30 #msc:82A15

paper · pdf · doi:10.48550/arxiv.math/0409520

129 pages LaTeX, 28 figures

arxiv created 2004/09/27 · openalex publication_date 2004/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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. It is meant as an overview of recent results illustrating the interplay between noncommutative geometry and arithmetic geometry/number theory.

Citations

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