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SUMMARY:Shiyue Li (Brown University)
DTSTART:20201019T200000Z
DTEND:20201019T210000Z
DTSTAMP:20260423T021256Z
UID:AGSAGS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSAGS/5/">T
 opology of tropical moduli spaces of weighted stable curves in higher genu
 s</a>\nby Shiyue Li (Brown University) as part of American Graduate Studen
 t Algebraic Geometry Seminar\n\n\nAbstract\nTropical moduli spaces of weig
 hted stable curves are moduli spaces of metric weighted marked graphs sati
 sfying certain stability conditions. The space of tropical weighted curves
  of genus g and volume 1 is the dual complex of the divisor of singular cu
 rves in Hassett's moduli space of weighted stable genus g curves. One can 
 derive plenty of topological properties of the Hassett spaces by studying 
 the topology of these dual complexes. In this talk (and in a paper coming 
 soon)\, we show that the spaces of tropical weighted curves of genus g and
  volume 1 are simply-connected for all genus greater than zero and all rat
 ional weights\, under the framework of symmetric Delta-complexes and via a
  result by Allcock-Corey-Payne 19. We also calculate the Euler characteris
 tics of these spaces and the top weight Euler characteristics of the class
 ical Hassett spaces in terms of the combinatorics of the weights.\n
LOCATION:https://researchseminars.org/talk/AGSAGS/5/
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