BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Assaf Shani (Concordia University\, Montreal) DTSTART:20231109T190000Z DTEND:20231109T200000Z DTSTAMP:20260423T021228Z UID:OLS/135 DESCRIPTION:Title: Ge neric analysis of Borel homomorphisms for the finite Friedman-Stanley jump s\nby Assaf Shani (Concordia University\, Montreal) as part of Online logic seminar\n\n\nAbstract\nThe talk will begin by discussing the basic d efinitions and general goals behind the theory of Borel equivalence relati ons. We will focus on the Friedman-Stanley jumps =+n\, for n=1\,2\,... and n=ω. These Borel equivalence relations represent the notions of being cl assifiable using invariants which are countable sets of reals\, countable sets of countable sets of reals\, and so on. We consider the problem of co nstructing a Borel reduction from =+n to some other equivalence relation. For n=1 the situation is well understood and there are many such results. We present a technique for finding such a reduction when n>1\, based on Ba ire-category analysis of all Borel homomorphisms from =+n.\n LOCATION:https://researchseminars.org/talk/OLS/135/ END:VEVENT END:VCALENDAR