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DTSTART:20260531T044026
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DTSTART;TZID=America/Santiago:20260525T163000
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SUMMARY:Santiago Dynamical Systems Seminar: “Independence of notions from dynamics: a descriptive set theoretic approach”
DESCRIPTION:Abstract:\n\nAs a special case of a theorem of Pollington, the set of numbers that are normal in base 2, but not normal in base 3 is known to have full Hausdorff dimension. An interpretation of results such as this are that in some way the notions of normality in base 2 and normality in base 3 are “independent”.\nThe purpose of this talk is to introduce notions from descriptive set theory that may better capture this idea of independence: that of – and -completeness. For example, the previously mentioned set of numbers normal in base 2, but not normal in base 3 is known to be -complete by a recent result of Jackson, M., and Vandehey. Difference sets that satisfy these properties will also have additional interesting properties that will be discussed\nSpeaker: Bill Mance (Adam Mickiewicz University)\nVenue: Room 2, Faculty of Mathematics, Pontificia Universidad Católica\n\n
URL:https://www.cmm.uchile.cl/events/santiago-dynamical-systems-seminar-independence-of-notions-from-dynamics-a-descriptive-set-theoretic-approach/
CATEGORIES:Seminarios
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