BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Wern Yeong (Notre Dame) DTSTART:20211024T150000Z DTEND:20211024T152000Z DTSTAMP:20260423T004824Z UID:AGNES/11 DESCRIPTION:Title: A lgebraic hyperbolicity of very general hypersurfaces in products of projec tive spaces\nby Wern Yeong (Notre Dame) as part of Algebraic Geometry NorthEastern Series (AGNES)\n\n\nAbstract\nA complex algebraic variety is said to be hyperbolic if it contains no entire curves\, which are non-cons tant holomorphic images of the complex line. Demailly introduced algebraic hyperbolicity as an algebraic version of this property\, and it has since been well-studied as a means for understanding Kobayashi’s conjecture\, which says that a generic hypersurface in dimensional projective space is hyperbolic whenever its degree is large enough. In this talk\, we study t he algebraic hyperbolicity of very general hypersurfaces of high bi-degree s in Pm x Pn and completely classify them by their bi-degrees\, except for a few cases in P3 x P1. We present three techniques to do that\, which bu ild on past work by Ein\, Voisin\, Pacienza\, Coskun and Riedl\, and other s. As another application of these techniques\, we simplify a proof of Voi sin (1988) of the algebraic hyperbolicity of generic high-degree projectiv e hypersurfaces.\n LOCATION:https://researchseminars.org/talk/AGNES/11/ END:VEVENT END:VCALENDAR