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SUMMARY:Steven Charlton (Universität Hamburg)
DTSTART:20210706T080000Z
DTEND:20210706T083000Z
DTSTAMP:20260423T010808Z
UID:JENTE/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/41/">F
 unctional equations for Nielsen polylogarithms</a>\nby Steven Charlton (Un
 iversität Hamburg) as part of Japan Europe Number Theory Exchange Seminar
 \n\n\nAbstract\nThe Nielsen polylogarithms $S_{p\,q}$ are perhaps the simp
 lest examples of higher depth multiple polylogarithms\, but beyond some si
 mple symmetries\, relatively little seems to be known about their identiti
 es and functional relations.  I will report on some joint work with Herber
 t Gangl\, and Danylo Radchenko\, wherein we establish that $S_{3\,2}$ sati
 sfies the dilogarithm 5-term relation\, modulo explicit $\\operatorname{Li
 }_5$ terms.  From this we can always extract corresponding results for $S_
 {3\,2}$ whenever a dilogarithm identity is accessible through the 5-term r
 elation.  I will also try to give a flavour of some of our results and eva
 luations in higher weight.\n
LOCATION:https://researchseminars.org/talk/JENTE/41/
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