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SUMMARY:Dicle Mutlu (McMaster University)
DTSTART:20241114T190000Z
DTEND:20241114T200000Z
DTSTAMP:20260423T021406Z
UID:OLS/160
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/160/">De
 finable groups in henselian valued fields</a>\nby Dicle Mutlu (McMaster Un
 iversity) as part of Online logic seminar\n\n\nAbstract\nA valued field is
  henselian if every simple root of a polynomial in its residue field lifts
  uniquely to a root in the field itself. The Ax-Kochen-Ershov Principle st
 ates that henselian valued fields are—in the model-theoretic sense—det
 ermined by their value groups and residue fields\, which are much simpler 
 mathematical structures. This naturally leads to the question: Can every d
 efinable group in a henselian valued field be decomposed into components t
 hat are controlled by its value group and residue field? Hrushovski and Ri
 deau-Kikuchi have answered this question positively for abelian groups in 
 algebraically closed valued fields. In this talk\, we will discuss our app
 roach and results extending their work to the broader henselian setting. T
 his is joint work with Paul Z. Wang.\n
LOCATION:https://researchseminars.org/talk/OLS/160/
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