BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Département de mathématiques et applications - ECPv6.2.2//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Département de mathématiques et applications
X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:Europe/Paris
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20220327T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20221030T010000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20220614T160000
DTEND;TZID=Europe/Paris:20220614T173000
DTSTAMP:20260403T235652
CREATED:20220607T105456Z
LAST-MODIFIED:20220607T105456Z
UID:15638-1655222400-1655227800@www.math.ens.psl.eu
SUMMARY:On the Borel complexity of modules
DESCRIPTION:We prove that among all countable\, commutative rings R (with unit) the theory of R-modules is not Borel complete if and only if there are only countably many non-isomorphic countable R-modules. From the proof\, we obtain a succinct proof that the class of torsion free abelian groups is Borel complete.\nThe results above follow from some general machinery that we expect to have applications in other algebraic settings. Here\, we also show that for an arbitrary countable ring R\, the class of left R-modules equipped with an endomorphism is Borel complete; as is the class of left R-modules equipped with predicates for four submodules. This is joint work with D. Ulrich.
URL:https://www.math.ens.psl.eu/evenement/on-the-borel-complexity-of-modules/
LOCATION:Sophie Germain salle 1016.
CATEGORIES:Théorie des Modèles et Groupes
END:VEVENT
END:VCALENDAR