BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alexander Degtyarev (Bilkent) DTSTART:20241025T124000Z DTEND:20241025T134000Z DTSTAMP:20260423T052709Z UID:OBAGS/52 DESCRIPTION:Title: R eal plane sextic curves with smooth real part\nby Alexander Degtyarev (Bilkent) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstrac t\nWe have obtained the complete deformation classification of singular re al plane sextic curves with smooth real part\, i.e.\, those without real s ingular points. This was made possible due to the fact that\, under the as sumption\, contrary to the general case\, the equivariant equisingular def ormation type is determined by the so-called real homological type in its most naïve sense\, i.e.\, the homological information about the polarizat ion\, singularities\, and real structure\; one does not need to compute th e fundamental polyhedron of the group generated by reflections and identif y the classes of ovals therein. Should time permit\, I will outline our pr oof of this theorem.\n\nAs usual\, this classification leads us to a numbe r of observations\, some of which we have already managed to generalize. T hus\, we have an Arnol’d-Gudkov-Rokhlin type congruence for close to max imal surfaces (and\, hence\, even degree curves) with certain singularitie s. Another observation (which has not been quite understood yet and may tu rn out K3-specific) is that the contraction of any empty oval of a type I real scheme results in a bijection of the sets of deformation classes.\n(j oined work with Ilia Itenberg)\n LOCATION:https://researchseminars.org/talk/OBAGS/52/ END:VEVENT END:VCALENDAR