BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrés Jaramillo Puentes (Universität Duisburg-Essen) DTSTART:20221125T143000Z DTEND:20221125T153000Z DTSTAMP:20260422T172521Z UID:TGiZ/45 DESCRIPTION:Title: Qu adratically enriched tropical intersections 2\nby Andrés Jaramillo Pu entes (Universität Duisburg-Essen) as part of Tropical Geometry in Frankf urt/Zoom TGiF/Z\n\n\nAbstract\nTropical geometry has been proven to be a p owerful computational tool in enumerative geometry over the complex and re al numbers. Results from motivic homotopy theory allow to study questions in enumerative geometry over an arbitrary field k.\nIn these two talks we present one of the first examples of how to use tropical geometry for ques tions in enuemrative geometry over k\, namely a proof of the quadratically enriched Bézout's theorem for tropical curves. \n\nIn the second talk we define the quadratically enriched multiplicity at an intersection point o f two tropical curves and show that it can be computed combinatorially. We will use this new approach to prove an enriched version of the Bézout th eorem and of the Bernstein–Kushnirenko theorem\, both for enriched tropi cal curves.\n LOCATION:https://researchseminars.org/talk/TGiZ/45/ END:VEVENT END:VCALENDAR