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DTSTART;TZID=America/Toronto:20250918T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-202
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:JASHAN BAL\, UNIVERSITY OF WATERLOO\n\n_Projectivity in topolog
 ical dynamics_\n\nA compact space is defined to be projective if it satisf
 ies a certain\nuniversal lifting property. Projective objects in the categ
 ory of\ncompact spaces were characterized as exactly the extremally\ndisco
 nnected compact spaces by Gleason (1958). Analogously\, if we fix\na topol
 ogical group G\, then one can consider projectivity in the\ncategory of G-
 flows or affine G-flows. We present some new results in\nthis direction\, 
 including a characterization of amenability or extreme\namenability for cl
 osed subgroups of a Polish group via a certain\nG-flow being projective in
  the category of affine G-flows or G-flows\nrespectively. Lastly\, we intr
 oduce a new property\, called proximally\nirreducible\, for a G-flow and u
 se it to prove a new dynamical\ncharacterization of strong amenability for
  closed subgroups of a\nPolish group. In doing so\, we answer a question o
 f Zucker by\ncharacterizing when the universal minimal proximal flow for a
  Polish\ngroup is metrizable or has a comeager orbit.\n\nQNC 1507 or Join 
 on Zoom\n[https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTRO
 cmRreW96QT09]
DTSTAMP:20260502T041615Z
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