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DTSTART;TZID=America/Toronto:20250912T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-76
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:ANDY ZUCKER\, UNIVERSITY OF WATERLOO\n\n_Tameness\, forcing\, a
 nd the revised Newelski conjecture_\n\nThe revised Newelski conjecture ass
 erts that for any group definable\nin an NIP structure\, the automorphism 
 group of its definable universal\nminimal flow is Hausdorff in the so-cal
 led \"tau-topology.\" Recently\,\nthe countable case of the conjecture was
  proven by Chernikov\, Gannon\,\nand Krupinski using a deep result of Glas
 ner\, which provides a\nstructure theorem for minimal metrizable tame flow
 s. With this result\,\nthey prove that the Ellis group of a minimal metriz
 able tame flow (the\nautomorphism group of a related flow) has Hausdorff t
 au-topology\, and\nthe conjecture for groups definable in countable NIP st
 ructures\nfollows. We prove the revised Newelski conjecture in full by sho
 wing\nthat the Ellis group of any minimal tame flow has Hausdorff\ntau-top
 ology. To do this\, we introduce new set-theoretic methods in\ntopological
  dynamics which allow us to apply forcing and absoluteness\narguments. As 
 a consequence\, we obtain a partial version of Glasner's\nstructure theore
 m for general minimal tame flows. Joint work with\nGianluca Basso.\n\nMC 5
 403
DTSTAMP:20260502T041609Z
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