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SUMMARY:Samaria Montenegro Guzmán (U Costa Rica)
DTSTART:20200611T180000Z
DTEND:20200611T190000Z
DTSTAMP:20260404T164920Z
UID:OLS/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/OLS/8
 /">Model Theory of Pseudo Real Closed Fields</a>\nby Samaria Montenegro Gu
 zmán (U Costa Rica) as part of Online logic seminar\n\n\nAbstract\nThe no
 tion 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 e
 xistentially closed in every regular extension L to which all orderings of
  M extend. Thus PRC fields are to real closed fields what PAC fields are t
 o algebraically closed fields.\nIn this talk we will study the class of ps
 eudo real closed fields (PRC-fields) from a model theoretical point of vie
 w and we will explain some of the main results obtained. We know that the 
 complete theory of a bounded PRC field (i.e.\, with finitely many algebrai
 c extensions of degree m\, for each m > 1) is NTP_2 and we have a good des
 cription 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-gener
 ics types.\n\nIn the end of the talk we will explain some results obtained
  with Silvain Rideau. Where we generalize the notion of PRC fields to a mo
 re general class of fields. In particular\, this class includes fields tha
 t have orders and valuations at the same time.\n
LOCATION:https://stable.researchseminars.org/talk/OLS/8/
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