BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chengfa Wu (Shenzhen University\, China) DTSTART:20210316T130000Z DTEND:20210316T140000Z DTSTAMP:20260422T201702Z UID:CAvid/34 DESCRIPTION:Title: E lliptic functions and their applications in complex differential equations \nby Chengfa Wu (Shenzhen University\, China) as part of CAvid: Comple x Analysis video seminar\n\nLecture held in N/A.\n\nAbstract\nThis talk fo cuses on the applications of elliptic functions in complex differential eq uations. First\, we discuss classifications of meromorphic solutions of ce rtain autonomous complex differential equations. In particular\, we will f ocus on the Loewy factorizable algebraic ODEs. Then we move to the study o f the autonomous Schwarzian differential equations (SDEs). Ishizaki showed that there are six canonical types of autonomous SDEs that have transcend ental meromorphic solutions. We will construct all transcendental meromorp hic solutions of five canonical types explicitly. In particular\, the solu tions of four types are shown to be elliptic functions. Also\, all transce ndental meromorphic solutions that possess a Picard exceptional value are characterized for the remaining canonical type. This talk is based on join t works with Ng and Liao respectively.\n LOCATION:https://researchseminars.org/talk/CAvid/34/ END:VEVENT END:VCALENDAR