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CREATED:20200904T115630Z
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UID:5470-1604678400-1604682000@aarms.math.ca
SUMMARY:Dalhousie-AARMS AAMP Seminar: Reem Yassawi (Open University\, London)
DESCRIPTION:Title: Some tame or wild Cantor dynamical systems\n Abstract: A topological dynamical system is a pair  where  is a compact metric spaces and  is a group or semigroup acting continuously on . One algebraic invariant of a such a dynamical system is the Ellis semigroup.  The Ellis semigroup  of a topological dynamical system is defined to be the compactification of the action  in the topology of pointwise convergence on the space of all function .  Tameness is a concept whose roots date back to Rosenthal’s  embedding theorem\, which says that if a sequence in  does not have a weakly Cauchy subsequence\, then it must be a sequence on unit vectors in .  Köhler linked the concept of tameness to the Ellis semigroup.  A system is tame if its Ellis semigroup has size at most the continuum.  Non-tame systems are very far from tame\, as they must contain a copy of \, the Stone-Cech compactification of . \nIn this talk\, I will briefly survey the properties of the Ellis semigroup that make it an interesting object to study\, and discuss recent developments concerning tameness.  I will then discuss Toeplitz shifts\, which themselves have been studied extensively in this context and is the subject of some joint work with G. Fuhrmann and J. Kellendonk. \nThe Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 – 5 pm Atlantic Time over Zoom.  If you would like to attend\, please email the organizers for connection details.
URL:https://aarms.math.ca/event/dalhousie-aarms-aamp-seminar-2020-10-16-2-2-2-2/
LOCATION:Zoom seminar
CATEGORIES:AAMP Seminar
ORGANIZER;CN="Suresh Eswarathasan":MAILTO:sr766936@dal.ca
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