K-theory
imported>Pythagoras0님의 2014년 10월 26일 (일) 19:35 판
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