BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Andrés Villaveces (Universidad Nacional de Colombia)
DTSTART:20210513T180000Z
DTEND:20210513T190000Z
DTSTAMP:20260423T035745Z
UID:OLS/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/53/">A p
 artition relation for well-founded trees by Komjáth and Shelah\, and two 
 applications to model theory.</a>\nby Andrés Villaveces (Universidad Naci
 onal de Colombia) as part of Online logic seminar\n\n\nAbstract\nIn 2003\,
  Komjáth and Shelah proved a partition theorem on scattered order types\;
  these in turn could be understood as partition relations for classes of w
 ell-founded trees. Recently\, two different kinds of applications of the s
 ame partition relation have been used in infinitary logic and in model the
 ory: one by Väänänen and Velickovic on games related to Shelah’s logi
 c $L^1_\\kappa$\, another by Shelah and myself on the “canonical tree”
  of an AEC (a generalization of the Scott sentence for an abstract element
 ary class). I will describe the Komjáth-Shelah result in the first part a
 nd then narrow in the applications (with more details on the second one\, 
 from some recent joint work with Shelah). Time permitting\, I will also ad
 dress a third interaction between partition relations and model theoretic 
 issues.\n
LOCATION:https://researchseminars.org/talk/OLS/53/
END:VEVENT
END:VCALENDAR