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SUMMARY:Groups and Fields in higher classification theory [Oberseminar Log
 ik]
DTSTART:20250707T150000Z
DTEND:20250707T160000Z
DTSTAMP:20260514T005900Z
UID:indico-event-547@math-events.uni-bonn.de
DESCRIPTION:Speakers: Nadja Hempel (Düsseldorf)\n\nA key goal in model th
 eory is distinguishing between tame structures (e.g. the complex field) an
 d wild structures (e.g. the ring of integers). This distinction was introd
 uced by Shelah in the 1970s (Shelah’s Classification Theory) and is base
 d on restricting combinatorial pattern given by definable binary relations
 . At the apex are the stable theories\, such as the complex field\, with t
 wo complementary extensions: NIP theories (including p-adic fields) and si
 mple theories (such as pseudofinite fields).In this talk\, we briefly disc
 uss fields whose theory is tame in the above sense. Afterwards\, we leave 
 the binary world\, and introduce “n-ary” Classification theory. Instea
 d of “controlling” 2-ary relation\, we only assume that n-ary relation
 s are tame. We give examples and discuss groups and fields within these cl
 asses of theories.\n\nhttps://math-events.uni-bonn.de/event/547/
LOCATION:Endenicher Allee 60\, Nebengebäude/N0-003 - Seminarraum (Matheze
 ntrum)
URL:https://math-events.uni-bonn.de/event/547/
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