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SUMMARY:The Aomoto polylogarithm via iterated integrals - Herbert Gangl (D
 urham University)
DTSTART:20220720T080000Z
DTEND:20220720T090000Z
UID:TALK175010@talks.cam.ac.uk
DESCRIPTION:Aomoto generalised the classical polylogarithm by assigning to
  a pair of n-simplices&nbsp\;in |P^n a (multi-valued) integral. The Aomoto
  dilogarithm\, in weight n=2\, was written in terms of the&nbsp\;classical
  dilogarithm by Beilinson\, Goncharov\, Schechtman and Varchenko\, and sub
 sequently Goncharov also&nbsp\;expressed the Aomoto trilogarithm in terms 
 of its classical version.We give the first--surprisingly short--expression
  of the Aomoto polylogarithm\, in arbitrary weight\,&nbsp\;in terms of ite
 rated integrals. The latter have been related to algebraic cycles (Bloch-K
 riz in depth 1\, G.-Goncharov-Levin for generic cycles in any depth).&nbsp
 \;(Joint with Steven Charlton and Danylo Radchenko.)
LOCATION:Seminar Room 1\, Newton Institute
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