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SUMMARY:Giles Gardam (Münster)
DTSTART:20211125T150500Z
DTEND:20211125T155500Z
DTSTAMP:20260423T003238Z
UID:GaTO/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/43/">Th
 e Kaplansky conjectures</a>\nby Giles Gardam (Münster) as part of Geometr
 y and topology online\n\n\nAbstract\nThree conjectures on group rings of t
 orsion-free groups are commonly attributed to Kaplansky\, namely the unit\
 , zero divisor and idempotent conjectures. For example\, the zero divisor 
 conjecture predicts that if $K$ is a field and $G$ is a torsion-free group
 \, then the group ring $K[G]$ has no zero divisors. I will discuss these c
 onjectures and their relationship to other conjectures and properties of g
 roups. I will then explain how modern solvers for Boolean satisfiability c
 an be applied to them\, producing the first counterexample to the unit con
 jecture.\n
LOCATION:https://researchseminars.org/talk/GaTO/43/
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