BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Omar León Sánchez (The University of Manchester) DTSTART:20231205T140000Z DTEND:20231205T150000Z DTSTAMP:20260421T154215Z UID:UEAPS/17 DESCRIPTION:Title: S ome remarks on differentially large fields and CODFs\nby Omar León S ánchez (The University of Manchester) as part of ANTLR seminar\n\nLecture held in SCI 3.05.\n\nAbstract\nWe make some observations around different ially large fields (in characteristic zero). In particular\, we note that they can be characterised as those differential fields that are existentia lly closed in the "differential algebraic" Laurent series ring. We also no te that a field admits a differentially large structure iff it is of infin ite transcendence degree (over Q). We then turn our attention to the theor y CODF (closed ordered differential fields). We observe that a real closed differential field has a prime model extension (in CODF) iff it is alread y a CODF. This extends a result of Singer showing that CODF has no prime m odel. We then discuss the question of when a real closed differential fiel d has a CODF extension inside a differential closure.\nThis is a combinati on of joint work with Marcus Tressl and Anand Pillay.\n LOCATION:https://researchseminars.org/talk/UEAPS/17/ END:VEVENT END:VCALENDAR