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SUMMARY:Monica VanDieren (Robert Morris University)
DTSTART:20220308T200000Z
DTEND:20220308T210000Z
DTSTAMP:20260423T004800Z
UID:PALS/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/31/">Tw
 enty years of tameness</a>\nby Monica VanDieren (Robert Morris University)
  as part of PALS Panglobal Algebra and Logic Seminar\n\n\nAbstract\nIn the
  1970s Saharon Shelah initiated a program to develop classification theory
  for non-elementary classes\, and eventually settled on the setting of abs
 tract elementary classes.  For over three decades\, limited progress was m
 ade\, most of which required additional set theoretic axioms. In 2001\, Ra
 mi Grossberg and I introduced the model theoretic concept of tameness whic
 h opened the door for stability results in abstract elementary classes in 
 ZFC.  During the following 20 years\, tameness along with limit models hav
 e been used by several mathematicians to prove categoricity theorems and t
 o develop non-first order analogs to forking calculus and stability theory
 \, solving a very large number of problems posed by Shelah in ZFC. Recentl
 y\, Marcos Mazari-Armida found applications to Abelian group theory and ri
 ng theory.  In this presentation I will highlight some of the more surpris
 ing results involving tameness and limit models from the past 20 years.\n
LOCATION:https://researchseminars.org/talk/PALS/31/
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