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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240118T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 145
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:CHANGHO HAN\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WA
 TERLOO\n\n\"EXTENDING THE TORELLI MAP TO ALTERNATIVE COMPACTIFICATIONS OF 
 THE\nMODULI SPACE OF CURVES\"\n\nIt is well-known that the Torelli map\, t
 hat turns a smooth curve of\ngenus g into its Jacobian (a principally pola
 rized abelian variety of\ndimension g)\, extends to a map from the Deligne
 —Mumford moduli of\nstable curves to the moduli of semi-abelic varieties
  by Alexeev.\nMoreover\, it is also known that the Torelli map does not ex
 tend over\nthe alternative compactifications of the moduli of curves as de
 scribed\nby the Hassett—Keel program\, including the moduli of pseudosta
 ble\ncurves (can have nodes and cusps but not elliptic tails). But it is\n
 not yet known whether the Torelli map extends over alternative\ncompactifi
 cations of the moduli of curves described by Smyth\; what\nabout the modul
 i of curves of genus g with rational m-fold\nsingularities\, where m is a 
 positive integer bounded above? As a joint\nwork in progress with Jesse Ka
 ss and Matthew Satriano\, I will describe\nmoduli spaces of curves with m-
 fold singularities (with topological\nconstraints) and describe how far th
 e Torelli map extends over such\nspaces into the Alexeev compactifications
 .\n\nMC 5417
DTSTAMP:20260505T133117Z
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