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SUMMARY:Hopf algebras from Feynman categories
DTSTART;VALUE=DATE-TIME:20180723T090000Z
DTEND;VALUE=DATE-TIME:20180723T100000Z
DTSTAMP;VALUE=DATE-TIME:20191017T124442Z
UID:indico-event-3781@indico.math.cnrs.fr
DESCRIPTION: \n\nWe introduce Feynman categories and show that they natur
ally define bi-algebras. In good circumstances these bi-algebras have Hopf
quotients. Corresponding to several levels of sophistication and decorati
on (both terms have technical definitions)\, we recover the Hopf algebras
of Goncharov and Brown from number theory\, a Hopf algebra of Baues used i
n the analysis of double loop spaces and the various Hopf algebras of Conn
es-Kreimer used in QFT as examples of the general theory. Co-actions also
appear naturally in this context as we will explain.\n\nhttps://indico.mat
h.cnrs.fr/event/3781/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/3781/
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