Codimension 2
From Mathematics
(→Motivation) |
(→Motivation) |
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relations between line bundles, codimension 1 cycles (divisors), invertible functions and the logarithm that everybody knows well. (Nevertheless the latter will be rediscussed in the first three talks). | relations between line bundles, codimension 1 cycles (divisors), invertible functions and the logarithm that everybody knows well. (Nevertheless the latter will be rediscussed in the first three talks). | ||
| − | While the first half of the seminar focuses on the explicit relation between (algebraic) K_2, the second (algebraic) Chern class of vector bundles and codimension 2 cycles the second half is devoted to the | + | While the first half of the seminar focuses on the explicit relation between (algebraic) K_2, the second (algebraic) Chern class of vector bundles and codimension 2 cycles the second half is devoted to the dilogarithm function which enters these relations in various ways. It became quite famous in many other areas of mathematics recently and some of those application we want to discuss as, for example, the relation with zeta functioms, the applications in physics, and in hyperbolic geometry (all of course not unrelated among each other). |
Let me quote Zagier <ref name="Zag07"/>: | Let me quote Zagier <ref name="Zag07"/>: | ||
