124 citations · 402 across the 57 of their papers we have counts for
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Unconditional noncommutative motivic Galois groups
Matilde Marcolli, Goncalo Tabuada
In this short note we introduce the unconditional noncommutative motivic Galois groups and relate them with those of Andre-Kahn.
Weight structure on noncommutative motives
Goncalo Tabuada
In this note we endow Kontsevich's category KMM of noncommutative mixed motives with a non-degenerate weight structure in the sense of Bondarko. As an application we obtain a conve…
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups
Matilde Marcolli, Goncalo Tabuada
In this article we further the study of noncommutative numerical motives. By exploring the change-of-coefficients mechanism, we start by improving some of our previous main results…
A guided tour through the garden of noncommutative motives
Goncalo Tabuada
These are the extended notes of a survey talk on noncommutative motives given at the 3era Escuela de Inverno Luis Santalo - CIMPA Research School: Topics in Noncommutative Geometry…
Kontsevich's noncommutative numerical motives
Matilde Marcolli, Goncalo Tabuada
In this note we prove that Kontsevich's category NCnum of noncommutative numerical motives is equivalent to the one constructed by the authors. As a consequence, we conclude that N…
Tensor triangular geometry of non-commutative motives
Ivo Dell'Ambrogio, Goncalo Tabuada
In this article we initiate the study of the tensor triangular geometry of the categories Mot(k)_a and Mot(k)_l of non-commutative motives (over a base ring k). Since the full comp…