BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Çisem Güneş Aktaş (Abdullah Gül) DTSTART:20231103T124000Z DTEND:20231103T134000Z DTSTAMP:20260423T052641Z UID:OBAGS/33 DESCRIPTION:Title: G eometry of equisingular strata of quartic surfaces with simple singulariti es\nby Çisem Güneş Aktaş (Abdullah Gül) as part of ODTU-Bilkent A lgebraic Geometry Seminars\n\n\nAbstract\nThe geometry of the equisingular strata of curves\, surfaces\, etc. is one of the central problems of K3-s urfaces. Thanks to the global Torelli theorem and surjectivity of the per iod map\, the equisingular deformation classification of singular projecti ve models of K3-surfaces with any given polarization becomes a mere comput ation. The most popular models studied intensively in the literature are p lane sextic curves and spatial quartic surfaces. Using the arithmetical re duction\, Akyol and Degtyarev [1] completed the problem of equisingular de formation classification of simple plane sextics. Simple quartic surfaces which play the same role in the realm of spatial surfaces as sextics do fo r curves\, are a relatively new subject\, promising interesting discoverie s.\n\nIn this talk\, we discuss the problem of classifying quartic surface s with simple singularities up to equisingular deformations by reducing th e problem to an arithmetical problem about lattices. This research [3] or iginates from our previous study [2] where the classification was given o nly for nonspecial quartics\, in the spirit of Akyol ve Degtyarev [1]. Ou r principal result is extending the classification to the whole space of s imple quartics and\, thus\, completing the equisingular deformation classi fication of simple quartic surfaces.\n\n [1] Akyol\, A. ve Degt yarev\, A.\, 2015. Geography of irreducible plane sex- tics. Proc. Lond. M ath. Soc. (3)\, 111(6)\, 13071337. ISSN 0024-6115. doi:10.1112/plms/pdv053 .\n [2] Güneş Aktaş\, Ç\, 2017. Classification of simple qu artics up to equisin- gular deformation. Hiroshima Math. J.\, 47(1)\, 8711 2. ISSN 0018-2079. doi:10.32917/hmj/1492048849.\n\n [3] Güneş Aktaş\, Ç\, to appear in Deformation classification of quartic surfaces with simple singularities. Rev. Mat. Iberoam. doi:10.4171/RMI/1431\n LOCATION:https://researchseminars.org/talk/OBAGS/33/ END:VEVENT END:VCALENDAR