BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Barbara Fantechi (SISSA) DTSTART:20210928T153000Z DTEND:20210928T163000Z DTSTAMP:20260423T022721Z UID:Geolis/57 DESCRIPTION:Title: Smoothability of non normal stable Gorenstein Godeaux surfaces\nby Bar bara Fantechi (SISSA) as part of Geometria em Lisboa (IST)\n\n\nAbstract\n This is joint work with Marco Franciosi and Rita Pardini.\n\nGodeaux surfa ces\, with $K^2=1$ and $p_g=q=0$\, are the (complex projective) surfaces o f general type with the smallest possible invariants. A complete classific ation\, i.e. an understanding of their moduli space\, has been an open pro blem for many decades.\n\nThe KSBA (after Kollár\, Sheperd-Barron and Ale xeev) compactification of the moduli includes so called stable surfaces. F ranciosi\, Pardini and Rollenske classified all such surfaces in the bound ary which are Gorenstein (i.e.\, not too singular).\n\nWe prove that most of these surfaces corresponds to a point in the moduli which is nonsingula r of the expected dimension 8. We expect that the methods used (which incl ude classical and recent infinitesimal deformation theory\, as well as alg ebraic stacks and the cotangent complex) can be applied to all cases\, and to more general moduli as well.\n\nThe talk is aimed at a non specialist mathematical audience\, and will focus on the less technical aspects of th e paper.\n LOCATION:https://researchseminars.org/talk/Geolis/57/ END:VEVENT END:VCALENDAR