Codimension 2
From Mathematics
(→Motivation) |
(→Motivation) |
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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 (and quite abstract) 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 | + | the theory of higher algebraic K-Theory (Quillen), mixed motives (Voevodsky - the ideas going back to Grothendieck), motivic cohomology, Bloch-Kato conjectures, Beilinson conjectures ... |
The intention of this seminar is to study the beginnings of this subject as they evolved historically. The hope is that people might appreciate and | The intention of this seminar is to study the beginnings of this subject as they evolved historically. The hope is that people might appreciate and | ||
