BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Stefano Mereta (Swansea University) DTSTART:20210625T131500Z DTEND:20210625T141500Z DTSTAMP:20260422T172350Z UID:TGiZ/29 DESCRIPTION:Title: Tr opical differential equations\nby Stefano Mereta (Swansea University) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\nAbstract\nIn 20 15 Dimitri Grigoriev introduced a way to tropicalize differential equation with coefficients in a power series ring and defined what a solution for such a tropicalized equation should be. In 2016 Aroca\, Garay and Toghani proved a fundamental theorem analogue to the fundamental theorem of tropic al geometry for power series over a trivially valued field. In this talk I will introduce the basic ideas moving then towards a functor of points ap proach to the subject by means of the recently developed tropical scheme t heory\, as introduced by Giansiracusa and Giansiracusa\, looking at soluti ons to such equations as morphisms between so-called pairs. I will also gi ve a generalisation to power series ring with non-trivially valued coeffic ients and state a colimit theorem along the lines of Payne's inverse limit theorem.\n LOCATION:https://researchseminars.org/talk/TGiZ/29/ END:VEVENT END:VCALENDAR