Codimension 2
From Mathematics
(→Motivation) |
(→Motivation) |
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beautiful connection between algebraic K-Theory, algebraic cycles and polylogarithms. The first work was restricted to the | beautiful connection between algebraic K-Theory, algebraic cycles and polylogarithms. The first work was restricted to the | ||
case of codimension 2 cycles, K_2, and the dilogarithm (this next polylogarithm after the usual logarithm) and '''quite explicit'''. | case of codimension 2 cycles, K_2, and the dilogarithm (this next polylogarithm after the usual logarithm) and '''quite explicit'''. | ||
| − | This story, for the next 35 years until now, triggered an enormous amount of research and was one of the motivations for many modern developments and conjectures, as for example | + | This story, for the next 35 years until now, triggered an enormous amount of research and was one of the motivations for many modern (and quite abstract) developments and conjectures, as for example |
the theory of higher algebraic K-Theory (Quillen), mixed motives (Voevodsky - the ideas going back to Grothendieck), motivic cohomology, Bloch-Kato conjecture, ... | the theory of higher algebraic K-Theory (Quillen), mixed motives (Voevodsky - the ideas going back to Grothendieck), motivic cohomology, Bloch-Kato conjecture, ... | ||
