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SUMMARY:Luciana Basualdo Bonatto (University of Oxford)
DTSTART:20200811T101500Z
DTEND:20200811T111500Z
DTSTAMP:20260423T021728Z
UID:operad/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/operad/7/">A
 n infinity operad of normalized cacti</a>\nby Luciana Basualdo Bonatto (Un
 iversity of Oxford) as part of operad pop-up\n\n\nAbstract\nNormalized cac
 ti are a graphical model for the moduli space of genus 0 oriented surfaces
 . They are endowed with a composition that corresponds to glueing surfaces
  along their boundaries\, but this composition is not associative. By intr
 oducing a new topological operad of bracketed trees\, we show that this op
 eration is associative up-to all higher homotopies and that normalized cac
 ti form an $\\infty$-operad in the form of a dendroidal space satisfying a
  weak Segal condition. In particular\, this provides one of the few exampl
 es in the literature of infinity operads that are not a nerve of an actual
  operad.\n
LOCATION:https://researchseminars.org/talk/operad/7/
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