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SUMMARY:Claudia He Yun (Brown University)
DTSTART:20210312T141500Z
DTEND:20210312T153000Z
DTSTAMP:20260422T172402Z
UID:TGiZ/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/20/">Th
 e $S_n$-equivariant rational homology of the tropical moduli spaces $\\Del
 ta_{2\,n}$</a>\nby Claudia He Yun (Brown University) as part of Tropical G
 eometry in Frankfurt/Zoom TGiF/Z\n\n\nAbstract\nThe tropical moduli space 
 $\\Delta_{g\,n}$ is a topological space that parametrizes isomorphism clas
 ses of $n$-marked stable tropical curves of genus $g$ with total volume 1.
  Its reduced rational homology has a natural structure of $S_n$-representa
 tions induced by permuting markings. In this talk\, we focus on $\\Delta_{
 2\,n}$ and compute the characters of these $S_n$-representations for $n$ u
 p to 8. We use the fact that $\\Delta_{2\,n}$ is a symmetric $\\Delta$-com
 plex\, a concept introduced by Chan\, Glatius\, and Payne. The computation
  is done in SageMath.\n
LOCATION:https://researchseminars.org/talk/TGiZ/20/
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