BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Radu Laza (Stony Brook) DTSTART:20230502T210000Z DTEND:20230502T220000Z DTSTAMP:20260423T005748Z UID:UAANTS/64 DESCRIPTION:Title: Deformations of mildly singular Calabi-Yau varieties\nby Radu Laza (St ony Brook) as part of University of Arizona Algebra and Number Theory Semi nar\n\nLecture held in ENR2 S395.\n\nAbstract\nThe well-known Bogomolov-Ti an-Todorov theorem says that the deformations of Calabi-Yau manifolds are unobstructed. The unobstructedness of deformations continues to hold Calab i-Yau varieties with ordinary nodal singularities (Kawamata\, Ran\, Tian)\ , but surprisingly the smoothability of such varieties is subject to topol ogical constrains. These obstructions to the existence of smoothings are l inear in dimension 3 (Friedman)\, and non-linear in higher dimensions (Rol lenske-Thomas).\n\nIn this talk\, I will give vast generalizations to both the unobstructedness of deformations for mildly singular Calabi-Yau varie ties\, and to the constraints on the existence of smoothings for certain c lasses of singular Calabi-Yau varieties. Additionally\, I will establish t he proper context for these results: the Hodge theory of degenerations wit h prescribed singularities (specifically higher rational/higher Du Bois an d liminal singularities).\n\nThis is joint work with Robert Friedman.\n LOCATION:https://researchseminars.org/talk/UAANTS/64/ END:VEVENT END:VCALENDAR