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DTSTAMP:20250807T135125Z
DESCRIPTION: \n\nTitle: Extending Torelli map from Smyth's alternative comp
 actifications of the moduli of curves\n\nAbstract: It is well-known that t
 he Torelli map\, that turns a smooth curve of genus g into its Jacobian (a
  principally polarized abelian variety of dimension g)\, extends to a map 
 from the Deligne—Mumford moduli of stable curves to the moduli of semi-abe
 lic varieties by Alexeev. Moreover\, it is also known that the Torelli map
  does not extend over the alternative compactifications of the moduli of c
 urves as described by the Hassett—Keel program\, including the moduli of p
 seudostable curves (can have nodes and cusps but not elliptic tails).\n\nB
 ut it is not yet known whether the Torelli map extends over the Smyth's al
 ternative compactifications of the moduli of curves\; what about the modul
 i of curves of genus g with rational m-fold singularities\, where m is a p
 ositive integer bounded above? As a joint work in progress with Jesse Kass
  and Matthew Satriano\, I will describe two types of moduli of curves with
  m-fold singularities and describe how far the Torelli map\n\nextends over
  such spaces into the Alexeev compactifications.\n\nIn person UQAM PK-5675
 \n\nZoom meeting 86352363947\n
DTSTART:20231129T183000Z
DTEND:20231129T193000Z
SUMMARY:Changho Han (University of Waterloo)
URL:/mathstat/channels/event/changho-han-university-wa
 terloo-353040
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