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SUMMARY:Is There Torsion in the Homotopy Braid Group?
DTSTART:20260317T090000Z
DTEND:20260317T100000Z
DTSTAMP:20260501T113900Z
UID:indico-event-5753@agenda.irmp.ucl.ac.be
DESCRIPTION:Speakers: Emmanuel Graff (University of Tokyo)\n\n In the ’
 Kourovka notebook\,’ V. Lin questions the existence of a non-trivial epi
 morphism from the braid group onto a non-abelian torsion-free group. The h
 omotopy braid group\, studied by Goldsmith in 1974\, naturally appears as 
 a potential candidate. In 2001\, Humphries showed that this homotopy braid
  group is torsion-free for less than six strands. In this presentation\, w
 e will see a new approach based on the broader concept of welded braids\, 
 along with algebraic techniques\, to determine whether the homotopy braid 
 group provides a complete answer to Lin’s question.\n\nhttps://agenda.ir
 mp.ucl.ac.be/event/5753/
LOCATION:B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cy
 clotron\, 2\, Louvain-la-Neuve))
URL:https://agenda.irmp.ucl.ac.be/event/5753/
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