BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260427T033144EDT-19883MNv7d@132.216.98.100 DTSTAMP:20260427T073144Z DESCRIPTION:COLLOQUE DES SCIENCES MATHÉMATIQUES DU QUÉBEC\n\nTitle: Orbit e quivalence relations and the compact action realization problem\n\nAbstrac t: The study of orbit equivalence relations induced by Borel actions of co untable groups on Polish (separable completely metrizable) spaces\, and th eir orbit spaces\, has been a very active area of research for several dec ades in various fields of mathematics\, including ergodic theory\, operato r algebras\, geometric group theory\, combinatorics\, probability and desc riptive set theory. Many results in this area have been obtained using erg odic (measure theoretic) methods. After giving a basic introduction to thi s theory\, I will focus on a new direction of topological nature that deal s with the problem of realizing orbit equivalence relations by continuous actions on compact metrizable spaces and in particular subshifts. This als o leads to considering a natural universal space for such actions and equi valence relations via subshifts and originates the study in this space of various important classes\, especially the so-called hyperfinite ones\, wh ich are those induced by actions of the group of integers. This is joint w ork with Josh Frisch\, Forte Shinko and Zoltan Vidnyánszky.\n\nLocation : CRM\, Pavillon André Aisenstadt\, Room 5340\n\n \n DTSTART:20260407T151500Z DTEND:20260407T151500Z SUMMARY:Alexander Kechris (Caltech) URL:/mathstat/channels/event/alexander-kechris-caltech -372290 END:VEVENT END:VCALENDAR