BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250810T035334EDT-3594CeOzkR@132.216.98.100 DTSTAMP:20250810T075334Z DESCRIPTION:Title: The failure of cost in the measure-class preserving sett ing.\n\nAbstract: In measured group theory (MGT)\, one studies group by th eir actions on finite or sigma-finite measure spaces. The notion of Measur e Equivalence (ME)\, due to Gromov\, is very similar to quasi-isometry and holds many powerful invariants. We will survey treeability in the ME cont ext\, look at the main obstruction to a strengthening of ME\, namely orbit equivalence (OE). We will sketch why free groups of different rank are ME \, but not OE. We will then look at these notions in the measure-class pre serving context and see how cost is not useful here.\n\n \n DTSTART:20240117T200000Z DTEND:20240117T210000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Antoine Poulin (9IÖÆ×÷³§Ãâ·Ñ) URL:/mathstat/channels/event/antoine-poulin-mcgill-uni versity-354236 END:VEVENT END:VCALENDAR