Codimension 2
From Mathematics
(→Chow groups and Chern classes) |
(→Schedule) |
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| 1.6. | | 1.6. | ||
|[[#Cycles in codim 2|Cycles in codim 2, part I]] | |[[#Cycles in codim 2|Cycles in codim 2, part I]] | ||
− | | | + | |Voelkel |
|- | |- | ||
| 8.6. | | 8.6. | ||
|[[#Cycles in codim 2|Cycles in codim 2, part II]] | |[[#Cycles in codim 2|Cycles in codim 2, part II]] | ||
− | | | + | |Kelly |
|- | |- | ||
| 15.6. | | 15.6. | ||
|[[#The dilogarithm|The dilogarithm]] | |[[#The dilogarithm|The dilogarithm]] | ||
− | | | + | |Bergner, Sartori |
|- | |- | ||
| 22.6. | | 22.6. | ||
|[[#A generalization of the exponential sequence|A generalization of the exponential sequence]] | |[[#A generalization of the exponential sequence|A generalization of the exponential sequence]] | ||
− | | | + | |Soergel |
|- | |- | ||
| 29.6. | | 29.6. | ||
|[[#The dilog, scissors congruences and volumes of hyperbolic spaces|The dilog, scissors congruences and volumes of hyperbolic spaces]] | |[[#The dilog, scissors congruences and volumes of hyperbolic spaces|The dilog, scissors congruences and volumes of hyperbolic spaces]] | ||
− | | | + | |Lye |
|- | |- | ||
| 6.7. | | 6.7. | ||
|[[#The dilog and zeta functions|The dilog and zeta functions]] | |[[#The dilog and zeta functions|The dilog and zeta functions]] | ||
− | | | + | |Eberhardt |
|- | |- | ||
| 13.7. | | 13.7. | ||
|[[#The dilog in physics|The dilog in physics]] | |[[#The dilog in physics|The dilog in physics]] | ||
− | |Scheidegger | + | |Scheidegger |
|- | |- | ||
| 20.7. | | 20.7. | ||
|[[#Outlook: Mixed motives and periods|Outlook: Mixed motives and periods]] | |[[#Outlook: Mixed motives and periods|Outlook: Mixed motives and periods]] | ||
− | | | + | |Hörmann |
|} | |} | ||
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<math>K_2^M(R) \cong K_2(R)</math> | <math>K_2^M(R) \cong K_2(R)</math> | ||
− | for fields (cf. | + | for fields (cf. §11, §12<ref name="Mil71"/>). |
* extension of the localization squence to <math>K_2</math> (the tame symbol). | * extension of the localization squence to <math>K_2</math> (the tame symbol). | ||
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** deduce special values as presented in <ref name="Zag07"/>, I, 1 | ** deduce special values as presented in <ref name="Zag07"/>, I, 1 | ||
− | References: <ref name="Blo10"/>, <ref name="Ram82"/>, <ref name="Blo00"/>, in particular 7.4 and all what is needed from before, <ref name="Zag07"/> | + | References: <ref name="Blo10"/>, <ref name="Ram82"/>, <ref name="Blo00"/>, in particular 7.4 and all what is needed from before, <ref name="Zag07"/>, <ref name="Hai94"/> |
There should/could be some overlap with the following two talks; speakers should coordinate; some material can be shifted to the talk on the relation with hyperbolic geometry | There should/could be some overlap with the following two talks; speakers should coordinate; some material can be shifted to the talk on the relation with hyperbolic geometry | ||
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References: <ref name="Blo78"/>, (<ref name="Blo10"/>, §6) | References: <ref name="Blo78"/>, (<ref name="Blo10"/>, §6) | ||
− | Reference for the Dilogarithm: <ref name="Zag07"/> | + | Reference for the Dilogarithm: <ref name="Zag07"/>, <ref name="Hai94"/> |
= The dilog, scissors congruences and volumes of hyperbolic spaces = | = The dilog, scissors congruences and volumes of hyperbolic spaces = | ||
− | References: <ref name="DS83"/>, <ref name="Gon99"/> | + | References: <ref name="DS83"/>, <ref name="Gon99"/>, <ref name="Hai94"/> |
More advanced reference: <ref name="Gon95"/>. | More advanced reference: <ref name="Gon95"/>. | ||
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= The dilog and zeta functions = | = The dilog and zeta functions = | ||
− | References: <ref name="Blo00"/>, (<ref name="Zag07"/>, I, §5) | + | References: <ref name="Blo00"/>, (<ref name="Zag07"/>, I, §5), <ref name="Hai94"/> |
More advanced reference: <ref name="Gon95"/>. | More advanced reference: <ref name="Gon95"/>. | ||
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Connection with the topics discussed in the seminar. | Connection with the topics discussed in the seminar. | ||
− | References: <ref name="Lev05"/>, <ref name="BD94"/>, <ref name="Blo91"/>, <ref name="Gon95"/> | + | References: <ref name="Lev05"/>, <ref name="BD94"/>, <ref name="Blo91"/>, <ref name="Gon95"/>, <ref name="Hai94"/> |
= References = | = References = | ||
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<ref name="Gro58">Grothendieck, A. | <ref name="Gro58">Grothendieck, A. | ||
''La théorie des classes de Chern''. (French) | ''La théorie des classes de Chern''. (French) | ||
− | Bull. Soc. Math. France 86 1958 137–154. | + | Bull. Soc. Math. France 86 1958 137–154. </ref> |
− | </ref> | + | |
+ | <ref name="Hai94">Hain,R.M.; ''Classical Polylogarithms'', Motives, in Motives (Seattle, WA, 1991), manual, vol. 55 (1994), pp. 3-42, American Mathematical Society</ref> | ||
</references> | </references> |