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SUMMARY:On the model theory of the free factor complex and its connection 
 to free groups [Oberseminar Logik]
DTSTART:20261109T160000Z
DTEND:20261109T170000Z
DTSTAMP:20261106T172900Z
UID:indico-event-1753@math-events.uni-bonn.de
DESCRIPTION:Speakers: Zahra Mohammadi Khangheshlaghi (Münster)\n\nThe fre
 e factor complexes (\\mathrm{AF}_n) and (\\mathrm{OF}_n) are built from th
 e nontrivial proper free factors of (F_n) and their conjugacy classes\, re
 spectively\, ordered by inclusion. I will discuss their model theory\, wit
 h a focus on stability. In joint work with Katrin Tent\, we proved that (\
 \mathrm{AF}_2)\, equipped with the complement relation\, is (\\omega)-stab
 le. I will then turn to higher ranks\, where (\\omega)-stability fails\, a
 nd discuss connections with the model theory of free groups. \n The part
 icipants of the seminar are welcome for coffee and tea in room 4.005 (offi
 ce Hieronymi) at 16.30 before the talks.\n\nhttps://math-events.uni-bonn.d
 e/event/1753/
LOCATION:Endenicher Allee 60\, Nebengebäude/N0-003 - Seminarraum (Matheze
 ntrum)
URL:https://math-events.uni-bonn.de/event/1753/
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