Noncommutative motives

Noncommutative motives

by Tabuada, Gonçalo

Type Book
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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) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative a…

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Title Statements

  • Full title :Noncommutative motives / Gonçalo Tabuada.

Summary

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) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative algebraic varieties". This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the m.

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Edition Statements

  • Publication Date:©2015

Publication Statements

The Physical Object

  • Description:1 online resource (x, 114 pages : : illustrations

Edition Identifiers

  • ISBN:9781470426279, 1470426277, 9781470423971, 1470423979
  • oclc:ocn952958512
  • LC Classification:QA564
  • Dewey Decimal:516.3/5

Subjects

$K$-theory -- Higher algebraic $K$-theo… Algebraic geometry -- Cycles and subsch… Algebraic geometry -- Foundations Algebraic varieties Algèbres non commutatives Category theory; homological algebra --… Category theory; homological algebra --… Category theory; homological algebra --… Motifs (Mathématiques) Motives (Mathematics) Noncommutative algebras Variétés algébriques

Writers

Tabuada, Gonçalo

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