Resumen de Relations between the Chow motive and the noncommutative motive of a smooth projective variety

Marcello Bernardara, Gonçalo Tabuada

• In this note we relate the notions of Lefschetz type, decomposability, and isomorphism for Chow motives with the notions of trivial type, decomposability, and isomorphism for noncommutative motives. Some examples, counter-examples, and applications are also described.