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DTSTAMP:20250702T120006Z
DESCRIPTION:TITLE : Generic measure preserving transformations and Descript
 ive Set Theory.\n\nABSTRACT :\n	The behavior of a measure preserving transf
 ormation\, even a generic one\, is highly non-uniform. In contrast to this
  observation\, a different picture of a very uniform behavior of the close
 d group generated by a generic measure preserving transformation has emerg
 ed. This picture included substantial evidence that pointed to these group
 s being all topologically isomorphic to a single group\, namely\, $L^0$---
 the non-locally compact\, topological group of all Lebesgue measurable fun
 ctions from $[0\,1]$ to the circle. In fact\, Glasner and Weiss asked if t
 his was the case.\n	\n	We will describe the background touched on above\, in
 cluding the connections with Descriptive Set Theory. Further\, we will ind
 icate a proof of the following theorem that answers the Glasner--Weiss que
 stion in the negative: for a generic measure preserving transformation $T$
 \, the closed group generated by $T$ is {\bf not} topologically isomorphic
  to $L^0$.\n\nSUR PLACE/ ON-SITE : \n\nPavillon André Aisenstadt\n	Salle/ R
 oom 6214/6254\n\n2920\, chemin de la tour\, Montréal (Québec)\n\nZOOM:\n	Jo
 in Zoom Meeting\n\nhttps://umontreal.zoom.us/j/85105423917?pwd=enM3MGpFNkZ
 KU2daMjRITmo0N0JUUT09\n\nMeeting ID: 851 0542 3917\n\nPasscode: 403790\n
DTSTART:20220506T193000Z
DTEND:20220506T203000Z
SUMMARY:Slawomir Solecki (Cornell University)
URL:/mathstat/channels/event/slawomir-solecki-cornell-
 university-339331
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