Codimension 2
From Mathematics
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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). | ||
| − | Let me quote Zagier <ref name=" | + | Let me quote Zagier <ref name="Zag07"/>: |
''Almost all of its ''[of the dilogarithm]'' appearances in mathematics, and almost all the formulas relating to it, have something of the fantastical in them, as if this function alone among all others possessed a sense of humor.'' | ''Almost all of its ''[of the dilogarithm]'' appearances in mathematics, and almost all the formulas relating to it, have something of the fantastical in them, as if this function alone among all others possessed a sense of humor.'' | ||
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There should/could be some overlap with the following two talks; speakers should coordinate | There should/could be some overlap with the following two talks; speakers should coordinate | ||
| − | If times is left some more motivations from <ref name=" | + | If times is left some more motivations from <ref name="Zag07"/> can be presented. |
= A generalization of the exponential sequence = | = A generalization of the exponential sequence = | ||
