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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20241025T091313Z
DTSTART:20241029T140000Z
DTEND:20241029T150000Z
SUMMARY:Algebra seminar - JC Tang
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}tqe-m169apy
 1-4atabf
DESCRIPTION:Title: Why Condensed Abelian Groups are Better Than Topologic
 al Abelian Groups\n\nAbstract: The category PAb of profinite abelian gro
 ups is an abelian category with many nice properties (e.g. It has enough
  projectives\, direct products are the usual ones...)\, which allows us 
 to do most of standard homological algebra. The category PAb naturally s
 its inside the category TAb of topological abelian groups\, but TAb is n
 ot abelian\, nor does it have a satisfactory theory of tensor products. 
 On the other hand\, PAb also naturally sits inside the category CondAb o
 f "condensed abelian groups"\, which is an abelian category with nice pr
 operties. We will show that the embedding of profinite modules into cond
 ensed modules (actually\, into "solid modules") preserves usual homologi
 cal notions such Ext and Tor\, so that the condensed world might be a be
 tter place to study profinite modules than the topological world.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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