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SUMMARY:Claudia Yun (Brown University)
DTSTART:20210215T210000Z
DTEND:20210215T220000Z
DTSTAMP:20260423T021411Z
UID:AGSAGS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSAGS/18/">
 The $S_n$-equivariant rational homology of the tropical moduli spaces $\\D
 elta_{2\,n}$</a>\nby Claudia Yun (Brown University) as part of American Gr
 aduate Student Algebraic Geometry Seminar\n\n\nAbstract\nThe tropical modu
 li space $\\Delta_{g\,n}$ is a topological space that parametrizes isomorp
 hism classes of $n$-marked stable tropical curves of genus with total volu
 me 1. Its reduced rational homology has a natural structure of $S_n$-repre
 sentations induced by permuting markings. In this talk\, we focus on $\\De
 lta_{2\,n}$ and compute the characters of these $S_n$-representations for 
 $n$ up to 8. We use the fact that $\\Delta_{2\,n}$ is a symmetric $\\Delta
 $-complex\, a concept introduced by Chan\, Glatius\, and Payne. The comput
 ation is done in SageMath.\n
LOCATION:https://researchseminars.org/talk/AGSAGS/18/
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