Noncommutative motives / Gonçalo Tabuada.

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

Uniform Title:	University lecture series (Providence, R.I.) ; 63.
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