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SUMMARY:Marcos Mazari-Armida (Carnegie Mellon University)
DTSTART:20200420T210000Z
DTEND:20200420T223000Z
DTSTAMP:20260404T110831Z
UID:CMUModelTheory/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMUMo
 delTheory/1/">Simple-like independence relations in AECs\, Part 1</a>\nby 
 Marcos Mazari-Armida (Carnegie Mellon University) as part of CMU model the
 ory seminar\n\n\nAbstract\nSimple theories were discovered by Shelah in th
 e mid seventies\, they form a well-behaved subclass of the class of unstab
 le first-order theories. In this series of talks\, we will introduce and s
 tudy analogues of simplicity in the context of abstract elementary classes
  with a monster model. We will study *-simple\, simple and supersimple ind
 ependence relations. We will show that their existence imply the failure o
 f the tree property. This is achieved by finding cardinal bounds to classe
 s of small Galois-types over a fixed model that are inconsistent for large
  subsets. The lectures are based on the following paper "Simple-like indep
 endence relations in abstract elementary classes" which is joint work with
  Rami Grossberg.\n
LOCATION:https://stable.researchseminars.org/talk/CMUModelTheory/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcos Mazari-Armida (Carnegie Mellon University)
DTSTART:20200427T210000Z
DTEND:20200427T223000Z
DTSTAMP:20260404T110831Z
UID:CMUModelTheory/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMUMo
 delTheory/2/">Simple-like independence relations in AECs\, Part 2</a>\nby 
 Marcos Mazari-Armida (Carnegie Mellon University) as part of CMU model the
 ory seminar\n\n\nAbstract\nSimple theories were discovered by Shelah in th
 e mid seventies\, they form a well-behaved subclass of the class of unstab
 le first-order theories. In this series of talks\, we will introduce and s
 tudy analogues of simplicity in the context of abstract elementary classes
  with a monster model. We will study *-simple\, simple and supersimple ind
 ependence relations. We will show that their existence imply the failure o
 f the tree property. This is achieved by finding cardinal bounds to classe
 s of small Galois-types over a fixed model that are inconsistent for large
  subsets. The lectures are based on the following paper "Simple-like indep
 endence relations in abstract elementary classes" which is joint work with
  Rami Grossberg.\n
LOCATION:https://stable.researchseminars.org/talk/CMUModelTheory/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcos Mazari-Armida (Carnegie Mellon University)
DTSTART:20200504T210000Z
DTEND:20200504T223000Z
DTSTAMP:20260404T110831Z
UID:CMUModelTheory/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMUMo
 delTheory/3/">Simple-like independence relations in AECs\, Part 3</a>\nby 
 Marcos Mazari-Armida (Carnegie Mellon University) as part of CMU model the
 ory seminar\n\n\nAbstract\nSimple theories were discovered by Shelah in th
 e mid seventies\, they form a well-behaved subclass of the class of unstab
 le first-order theories. In this series of talks\, we will introduce and s
 tudy analogues of simplicity in the context of abstract elementary classes
  with a monster model. We will study *-simple\, simple and supersimple ind
 ependence relations. We will show that their existence imply the failure o
 f the tree property. This is achieved by finding cardinal bounds to classe
 s of small Galois-types over a fixed model that are inconsistent for large
  subsets. The lectures are based on the following paper "Simple-like indep
 endence relations in abstract elementary classes" which is joint work with
  Rami Grossberg.\n
LOCATION:https://stable.researchseminars.org/talk/CMUModelTheory/3/
END:VEVENT
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