2007/11/03 by Caterina Consani, Consani, Caterina
Mathematics · #11G35 #14G40 #58B34 #Algebraic Geometry (math.AG) #Cognitive and developmental aspects of mathematical skills #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.AG #math.NT #math.OA #math.QA #msc:11G35 #msc:14G40 #msc:58B34
paper · pdf · doi:10.48550/arxiv.0711.0477
36 pages
arxiv created 2007/11/03 · openalex publication_date 2007/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper gives a short and historical survey on the theory of pure motives in algebraic geometry and reviews some of the recent developments of this theory in noncommutative geometry. The second part of the paper outlines the new theory of endomotives and some of its relevant applications in number-theory.