"K-theory"의 두 판 사이의 차이
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imported>Pythagoras0 |
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| − | + | ==major results== | |
| + | * Norm residue isomorphism theorem | ||
| + | ** isomorphism from Milnor K-theory mod l to étale cohomology | ||
| + | ** Bloch–Kato conjecture | ||
| + | ** generalization of the Milnor conjecture | ||
| + | ** consequence : Quillen–Lichtenbaum conjecture | ||
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* [[topology and vector bundles]] | * [[topology and vector bundles]] | ||
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==encyclopedia== | ==encyclopedia== | ||
| − | + | * http://en.wikipedia.org/wiki/Algebraic_K-theory | |
* http://en.wikipedia.org/wiki/K-theory | * http://en.wikipedia.org/wiki/K-theory | ||
| − | + | ==books== | |
| + | * Charles Weibel, [http://www.math.rutgers.edu/~weibel/Kbook.html The K-book: An introduction to algebraic K-theory] | ||
| + | * [http://books.google.co.kr/books?id=5AGmJFc6jncC Algebra, K-theory, groups, and education] | ||
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| + | ==expositions== | ||
| + | * CHRISTOPHE SOULE, [http://www.ihes.fr/~soule/soulehangzhou.pdf HIGHER K-THEORY OF ALGEBRAIC INTEGERS AND THE COHOMOLOGY OF ARITHMETIC GROUPS] | ||
| + | * [http://www.math.uni-bonn.de/people/grk1150/Past_Events/AG-programm-SS08.pdf Algebraic K-theory of number fields (after A. Borel)] | ||
* [http://www.jstor.org/stable/2318406 an introduction to algebraic K-theory]<br> | * [http://www.jstor.org/stable/2318406 an introduction to algebraic K-theory]<br> | ||
** T. Y. Lam and M. K. Siu, The American Mathematical Monthly, Vol. 82, No. 4 (Apr., 1975), pp. 329-364 | ** T. Y. Lam and M. K. Siu, The American Mathematical Monthly, Vol. 82, No. 4 (Apr., 1975), pp. 329-364 | ||
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** Charles A. Weibel | ** Charles A. Weibel | ||
* [http://math.berkeley.edu/%7Ehutching/teach/215b-2004/courtney.pdf A brief glance at K-theory] | * [http://math.berkeley.edu/%7Ehutching/teach/215b-2004/courtney.pdf A brief glance at K-theory] | ||
| − | * [http://www.spencerstirling.com/papers/ktheory.pdf ] | + | * [http://www.spencerstirling.com/papers/ktheory.pdf A BRIEF GUIDE TO ORDINARY K-THEORY] |
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| + | ==articles== | ||
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==questions== | ==questions== | ||
| + | * http://mathoverflow.net/questions/364/motivation-for-algebraic-k-theory | ||
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[[분류:개인노트]] | [[분류:개인노트]] | ||
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[[분류:math and physics]] | [[분류:math and physics]] | ||
2013년 1월 11일 (금) 09:53 판
introduction
major results
- Norm residue isomorphism theorem
- isomorphism from Milnor K-theory mod l to étale cohomology
- Bloch–Kato conjecture
- generalization of the Milnor conjecture
- consequence : Quillen–Lichtenbaum conjecture
Borel
topics
encyclopedia
books
- Charles Weibel, The K-book: An introduction to algebraic K-theory
- Algebra, K-theory, groups, and education
expositions
- CHRISTOPHE SOULE, HIGHER K-THEORY OF ALGEBRAIC INTEGERS AND THE COHOMOLOGY OF ARITHMETIC GROUPS
- Algebraic K-theory of number fields (after A. Borel)
- an introduction to algebraic K-theory
- T. Y. Lam and M. K. Siu, The American Mathematical Monthly, Vol. 82, No. 4 (Apr., 1975), pp. 329-364
- K-THEORY. An elementary introduction
- Max Karoubi. Conference at the Clay Mathematics Research Academy
- The development of Algebraic K-theory before 1980
- Charles A. Weibel
- A brief glance at K-theory
- A BRIEF GUIDE TO ORDINARY K-THEORY
articles