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SUMMARY:Moduli Stacks of Genus One Gorenstein Curves with Projective Good 
 Moduli Spaces
DTSTART:20250619T090000Z
DTEND:20250619T103000Z
DTSTAMP:20260424T082900Z
UID:indico-event-14408@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Michele Pernice (KTH Stockholm)\n\nThe search for al
 ternative compactifications of the moduli space of smooth curves has been 
 central in the panorama of moduli spaces. A possible way to construct such
  compactifications is allowing curves with worse-than-nodal singularities 
 in the moduli problem and imposing some stability conditions using the com
 binatorics of the curves to get the desired moduli space. We classify the 
 open substacks inside the moduli stack $\\mathcal{G}_{1\,n}$ of $n$-pointe
 d Gorenstein curves of genus one which admits a proper good moduli space. 
 They agree with those defined by Bozlee\, Kuo and Neff. Moreover\, we will
  prove that these spaces are actually projective and we will explain why t
 he classification is a consequence of a wall-crossing phenomenon. This is 
 a on-going project with Luca Battistella and Andrea Di Lorenzo.\n \n=====
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 s://indico.math.cnrs.fr/event/14408/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/14408/
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