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SUMMARY:Sophie Raynor (Macquarie University)
DTSTART:20200811T030000Z
DTEND:20200811T040000Z
DTSTAMP:20260423T004640Z
UID:operad/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/operad/2/">U
 npacking the combinatorics of modular operads</a>\nby Sophie Raynor (Macqu
 arie University) as part of operad pop-up\n\n\nAbstract\nWhilst operads ar
 e governed by trees\, undirected graphs of arbitrary genus are needed in o
 rder to describe modular operads. And this can get complicated. Especially
  if we're interested in understanding notions of modular operads\, such as
  Joyal and Kock's <i>compact symmetric multicategories</i>\, where the com
 bination of the contraction operation and a unital operadic composition pr
 esents particular challenges.\n\nI'll describe how to first break the prob
 lem into its constituent parts\, and then use the classical theory of dist
 ributive laws to put the pieces back together. The decomposition allows us
  to apply Weber's theory to get a fully faithful nerve via completely abst
 ract methods. More interestingly\, the proof method makes the combinatoric
 s of modular operads\, and especially the fiddly stuff\, completely explic
 it. Hence it provides a roadmap for developing the theory\, and the possib
 ility for gaining new conceptual insights into the structures described.\n
LOCATION:https://researchseminars.org/talk/operad/2/
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