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SUMMARY:Orthogonal types to the value group and descent [Oberseminar Logik
 ]
DTSTART:20250630T150000Z
DTEND:20250630T160000Z
DTSTAMP:20260721T191900Z
UID:indico-event-532@math-events.uni-bonn.de
CONTACT:tingxiangzou@gmail.com
DESCRIPTION:Speakers: Mariana Vicaria (Münster)\n\nFirst\, I will present
  a simplified proof of descent for stably dominated types in ACVF. I will 
 also state a more general version of descent for stably dominated types in
  any theory\, dropping the hypothesis of the existence of invariant extens
 ions. This first part is joint work with Pierre Simon.In the second part\,
  motivated by the study of the space of definable types orthogonal to the 
 value group in a henselian valued field and their cohomology\; I will pres
 ent a theorem that states that over an algebraically closed base of imagin
 ary elements\,  a global invariant type is residually dominated (essentia
 lly controlled by the residue field) if and only if it is orthogonal to th
 e value group\, if and only if its reduct in ACVF is stably dominated. Thi
 s is joint work with Pablo Cubides and Silvain Rideau- Kikuchi. The result
  extends to some valued fields with operators.\n\nhttps://math-events.uni-
 bonn.de/event/532/
LOCATION:Endenicher Allee 60/N0.003\,- Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/532/
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