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SUMMARY:Shiyue Li (Brown University)
DTSTART:20210430T143000Z
DTEND:20210430T153000Z
DTSTAMP:20260422T172514Z
UID:TGiZ/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/23/">To
 pology of tropical moduli spaces of weighted stable curves in higher genus
 </a>\nby Shiyue Li (Brown University) as part of Tropical Geometry in Fran
 kfurt/Zoom TGiF/Z\n\n\nAbstract\nThe space of tropical weighted curves of 
 genus g and volume 1 is the dual complex of the divisor of singular curves
  in Hassett’s moduli space of weighted stable genus g curves. One can de
 rive plenty of topological properties of the Hassett spaces by studying th
 e topology of these dual complexes. In this talk\, 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 rational weights\, under the frame
 work of symmetric Delta-complexes and via a result by Allcock-Corey-Payne 
 19. We also calculate the Euler characteristics of these spaces and the to
 p weight Euler characteristics of the classical Hassett spaces in terms of
  the combinatorics of the weights. I will also discuss some work in progre
 ss on a geometric group approach to simple connectivity of these spaces. T
 his is joint work with Siddarth Kannan\, Stefano Serpente\, and Claudia Yu
 n.\n
LOCATION:https://researchseminars.org/talk/TGiZ/23/
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