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SUMMARY:Andres Villaveces (Universidad Nacional de Colombia – Bogotá)
DTSTART:20220315T190000Z
DTEND:20220315T200000Z
DTSTAMP:20260423T021727Z
UID:PALS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/32/">On
  the small index property for AECs with strong amalgamation properties</a>
 \nby Andres Villaveces (Universidad Nacional de Colombia – Bogotá) as p
 art of PALS Panglobal Algebra and Logic Seminar\n\n\nAbstract\nWe first re
 visit notions of interpretability and internality in a category-theoretica
 l language (for first order theories)\, reframing work of Hrushovski and K
 amensky in a formalism derived from Makkai's early work. We then describe 
 the issue of recovering the bi-intepretability class of a theory in terms 
 of the automorphism group of a saturated model\, and the role of the "Smal
 l Index Property" (SIP) - a way of recovering the topology of a group acti
 on from purely algebraic information.\n\nWe then turn to abstract elementa
 ry classes\, and discuss the same notions\, in the opposite order: first\,
  two situations where a Small Index Property holds (joint work with Ghader
 nezhad)\, and then some applications to the problem of interpretation and 
 reconstruction\, adapted to abstract elementary classes.\n
LOCATION:https://researchseminars.org/talk/PALS/32/
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