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SUMMARY:Boundary stratifications of Hurwitz spaces - Darragh Glynn\, Unive
 rsity of Warwick
DTSTART:20260123T160000Z
DTEND:20260123T170000Z
UID:TALK234859@talks.cam.ac.uk
CONTACT:Kelly Wang
DESCRIPTION:A Hurwitz space is a moduli space parametrising holomorphic ma
 ps of Riemann surfaces with prescribed branching data. Building on work of
  Harris-Mumford\, Abramovich-Corti-Vistoli describe a smooth compactificat
 ion whose boundary parametrises degenerate maps. The boundary decomposes i
 nto connected subsets\, or strata\, corresponding to combinatorial types o
 f degenerations. I will present recent results giving an explicit\, implem
 entable description of the strata. This description leads to a natural def
 inition of a tropical Hurwitz space and has applications in complex dynami
 cs.
LOCATION:MR13
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