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SUMMARY:Peter Kropholler (University of Southampton)
DTSTART:20200603T100000Z
DTEND:20200603T110000Z
DTSTAMP:20260423T035939Z
UID:CANTA/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANTA/1/">Am
 enable groups and Noetherian group rings</a>\nby Peter Kropholler (Univers
 ity of Southampton) as part of Royal Holloway CANTA-Launch\n\n\nAbstract\n
 In joint work with Karl Lorensen and Dawid Kielak\, we study an old questi
 on of Reinhold Baer\nwhich dates back to around 1960.\nwhich are the group
 s such that the integral group ring is Noetherian. We shall see\nthat as w
 ell satisfying the maximal condition on subgroups (which Baer knew)\, they
 \nalso must be amenable. This then connects the question to some interesti
 ng\nBurnside groups constructed by Ivanov and Olshanskii.\n \nI love this 
 topic because it touches on two important and apparently very\ndifferent t
 hings in 20th century mathematics: the Banach-Tarski paradox and\nthe root
 s of non-commutative algebraic geometry.\n
LOCATION:https://researchseminars.org/talk/CANTA/1/
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