Codimension 2
From Mathematics
(→Motivation) |
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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 | ||
understand better many of the recent developments in the field when they have some "easy" explicit examples in mind that go just a little bit beyound the | understand better many of the recent developments in the field when they have some "easy" explicit examples in mind that go just a little bit beyound the | ||
| − | relations between line bundles, codimension 1 cycles (divisors), invertible functions and the logarithm that everybody knows well. | + | relations between line bundles, codimension 1 cycles (divisors), invertible functions and the logarithm that everybody knows well. (Nevertheless they will be discussed in the first 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 dilogaritm 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). | 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 dilogaritm 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). | ||
