Kontsevich’s noncommutative numerical motives

DOI10.1112/S0010437X12000383zbMath1269.18004arXiv1108.3785MaRDI QIDQ4911987

Gonçalo Tabuada, Matilde Marcolli

Publication date: 20 March 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3785

zbMATH Keywords

noncommutative motivessemisimplicitynoncommutative algebraic geometrynumerical equivalence

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) (K)-theory and homology; cyclic homology and cohomology (19D55) Grothendieck groups (category-theoretic aspects) (18F30) (K_0) of other rings (19A49) Enriched categories (over closed or monoidal categories) (18D20)

Related Items (9)

Noncommutative mixed (Artin) motives and their motivic Hopf dg algebras ⋮ Noncommutative motives of separable algebras ⋮ Noncommutative Weil conjecture ⋮ Noncommutative motives in positive characteristic and their applications ⋮ Noncommutative Artin motives ⋮ Some remarks concerning Voevodsky's nilpotence conjecture ⋮ Witt vectors and \(K\)-theory of automorphisms via noncommutative motives ⋮ Standard conjecture \(D\) for matrix factorizations ⋮ Weil restriction of noncommutative motives

Cites Work

• Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
• DG quotients of DG categories.
• Symmetric monoidal structure on non-commutative motives
• Uniqueness of enhancement for triangulated categories
• Unnamed Item

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