Noncommutative motives / Gonçalo Tabuada.

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The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory of noncommutative motives is more recent. It began in the 1980s when the Moscow school (Beilinson, Bondal, Kapranov, Manin, and others) bega...

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Bibliographic Details
Main Author: Tabuada, Gonçalo, 1979-
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2015]
Series:University lecture series (Providence, R.I.) ; 63.
Subjects:
Motives (Mathematics)
Noncommutative algebras.
Algebraic varieties.
Algebraic geometry > Foundations > Noncommutative algebraic geometry.
Algebraic geometry > Cycles and subschemes > (Equivariant) Chow groups and rings; motives.
Category theory; homological algebra > Categories with structure > Enriched categories (over closed or monoidal categories)
Category theory; homological algebra > Abelian categories > Derived categories, triangulated categories.
Category theory; homological algebra > Homological algebra > Homotopical algebra.
$K$-theory > Higher algebraic $K$-theory > $K$-theory and homology; cyclic homology and cohomology.
Physical Description:x, 114 pages : illustrations ; 26 cm.
Format: Book

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