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SUMMARY:Mariana Vicaria (Berkeley)
DTSTART:20210429T180000Z
DTEND:20210429T190000Z
DTSTAMP:20260423T021129Z
UID:OLS/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/49/">Eli
 mination of imaginaries and stable domination in multivalued fields</a>\nb
 y Mariana Vicaria (Berkeley) as part of Online logic seminar\n\n\nAbstract
 \nThe model theory of henselian valued fields has been a major topic of st
 udy during the last century. Remarkable work has been achieved by Haskell\
 , Hrushovski and Macpherson to understand the model theory of algebraicall
 y closed valued fields (ACVF). In a sequence of seminal papers they proved
  that this theory eliminates imaginaries once the geometric sorts are adde
 d and they developed the notion of stable domination\, which describes how
  types over maximally complete bases are controlled by the stable part of 
 the structure. \n\n      I will explain how to extend these results to the
  broader class of henselian valued fields of equicharacteristic zero\, res
 idue field algebraically closed and poly- regular value group. This includ
 es many interesting mathematical structures such as the Laurent Series ove
 r the Complex numbers\, but more importantly extends the results to valued
  fields with finitely many definable convex subgroups.\n
LOCATION:https://researchseminars.org/talk/OLS/49/
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