BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Samaria Montenegro Guzmán (U Costa Rica) DTSTART:20200611T180000Z DTEND:20200611T190000Z DTSTAMP:20260423T035629Z UID:OLS/8 DESCRIPTION:Title: Mode l Theory of Pseudo Real Closed Fields\nby Samaria Montenegro Guzmán ( U Costa Rica) as part of Online logic seminar\n\n\nAbstract\nThe notion of PAC field has been generalized by S. Basarab and by A. Prestel to ordered fields. Prestel calls a field M pseudo real closed (PRC) if M is existent ially closed in every regular extension L to which all orderings of M exte nd. Thus PRC fields are to real closed fields what PAC fields are to algeb raically closed fields.\nIn this talk we will study the class of pseudo re al closed fields (PRC-fields) from a model theoretical point of view and w e will explain some of the main results obtained. We know that the complet e theory of a bounded PRC field (i.e.\, with finitely many algebraic exten sions of degree m\, for each m > 1) is NTP_2 and we have a good descriptio n of forking.\n\nAlso\, in a joint work with Alf Onshuus and Pierre Simon we describe the definable groups in the case that they have f-generics typ es.\n\nIn the end of the talk we will explain some results obtained with S ilvain Rideau. Where we generalize the notion of PRC fields to a more gene ral class of fields. In particular\, this class includes fields that have orders and valuations at the same time.\n LOCATION:https://researchseminars.org/talk/OLS/8/ END:VEVENT END:VCALENDAR