BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Todor Tsankov (Institut Camille Jordan) DTSTART:20211216T190000Z DTEND:20211216T200000Z DTSTAMP:20260423T035716Z UID:OLS/80 DESCRIPTION:Title: Con tinuous logic and Borel equivalence relations\nby Todor Tsankov (Insti tut Camille Jordan) as part of Online logic seminar\n\n\nAbstract\nThe the ory of Borel reducibility of definable equivalence relations\nwas initiate d by Friedman and Stanley who were specifically interested\nin the equival ence relation of isomorphism of countable structures.\nSince then\, the sc ope of the theory has considerably expanded but\nisomorphism of countable structures remains one of the situations\nwhere the most detailed results are available and where both methods of\ninfinitary model theory and descr iptive set theory can be applied. In\nthis talk\, I will explain how infin itary continuous logic can be used\nto extend parts of this theory to metr ic structures. Our main result\nis about isomorphism of locally compact me tric structures and it is\na common generalization of theorems of Hjorth ( for locally compact\nmetric spaces) and Hjorth and Kechris (for countable structures). This\nis joint work with Andreas Hallbä\;ck and Maciej Ma licki.\n LOCATION:https://researchseminars.org/talk/OLS/80/ END:VEVENT END:VCALENDAR