"K-theory"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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==introduction== | ==introduction== | ||
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==major results== | ==major results== | ||
* Norm residue isomorphism theorem | * Norm residue isomorphism theorem | ||
** isomorphism from Milnor K-theory mod l to étale cohomology | ** isomorphism from Milnor K-theory mod l to étale cohomology | ||
| − | ** Bloch–Kato conjecture | + | ** motivic Bloch–Kato conjecture |
** generalization of the Milnor conjecture | ** generalization of the Milnor conjecture | ||
** consequence : Quillen–Lichtenbaum conjecture | ** consequence : Quillen–Lichtenbaum conjecture | ||
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| − | == | + | ==number fields== |
| + | * [[K-theory of number fields and Borel's regulator]] | ||
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==related items== | ==related items== | ||
* [[topology and vector bundles]] | * [[topology and vector bundles]] | ||
| − | + | * [[K-theory of curves]] | |
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==encyclopedia== | ==encyclopedia== | ||
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==expositions== | ==expositions== | ||
* CHRISTOPHE SOULE, [http://www.ihes.fr/~soule/soulehangzhou.pdf HIGHER K-THEORY OF ALGEBRAIC INTEGERS AND THE COHOMOLOGY OF ARITHMETIC GROUPS] | * CHRISTOPHE SOULE, [http://www.ihes.fr/~soule/soulehangzhou.pdf HIGHER K-THEORY OF ALGEBRAIC INTEGERS AND THE COHOMOLOGY OF ARITHMETIC GROUPS] | ||
| − | * Arlettaz, D. 2000. “Algebraic | + | * Arlettaz, D. 2000. “Algebraic <math>K</math>-theory of rings from a topological viewpoint.” Publicacions Matemàtiques 44 (1) (January 11): 3–84. |
| − | * [http://www.jstor.org/stable/2318406 an introduction to algebraic K-theory] | + | * [http://www.jstor.org/stable/2318406 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 | ** T. Y. Lam and M. K. Siu, The American Mathematical Monthly, Vol. 82, No. 4 (Apr., 1975), pp. 329-364 | ||
| − | * [http://www.claymath.org/programs/outreach/academy/LectureNotes05/Karoubipaper.pdf K-THEORY. An elementary introduction] | + | * [http://www.claymath.org/programs/outreach/academy/LectureNotes05/Karoubipaper.pdf K-THEORY. An elementary introduction] |
** Max Karoubi. Conference at the Clay Mathematics Research Academy | ** Max Karoubi. Conference at the Clay Mathematics Research Academy | ||
| − | * [http://www.math.uiuc.edu/K-theory/0343/khistory.pdf The development of Algebraic K-theory before 1980] | + | * [http://www.math.uiuc.edu/K-theory/0343/khistory.pdf The development of Algebraic K-theory before 1980] |
** 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 A BRIEF GUIDE TO ORDINARY K-THEORY] | * [http://www.spencerstirling.com/papers/ktheory.pdf A BRIEF GUIDE TO ORDINARY K-THEORY] | ||
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==questions== | ==questions== | ||
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[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:math]] | [[분류:math]] | ||
| + | [[분류:K-theory]] | ||
| + | [[분류:migrate]] | ||
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| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q2553675 Q2553675] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'algebraic'}, {'LOWER': 'k'}, {'OP': '*'}, {'LEMMA': 'theory'}] | ||
2021년 2월 17일 (수) 02:09 기준 최신판
introduction
major results
- Norm residue isomorphism theorem
- isomorphism from Milnor K-theory mod l to étale cohomology
- motivic Bloch–Kato conjecture
- generalization of the Milnor conjecture
- consequence : Quillen–Lichtenbaum conjecture
number fields
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
- Arlettaz, D. 2000. “Algebraic \(K\)-theory of rings from a topological viewpoint.” Publicacions Matemàtiques 44 (1) (January 11): 3–84.
- 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
questions
메타데이터
위키데이터
- ID : Q2553675
Spacy 패턴 목록
- [{'LOWER': 'algebraic'}, {'LOWER': 'k'}, {'OP': '*'}, {'LEMMA': 'theory'}]