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UID:70a03d3ddd8bf3b1a574c6f7e25a36a8
CATEGORIES:Topology/Geometry Seminar
CREATED:20230410T135916
SUMMARY:Classifying symmetric knots
LOCATION:Notified via email/contact the organizers
DESCRIPTION:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologyseminar/home">https://sites.google.com/view/rutgersgeometrytopo
 logyseminar/home</a></p>
CONTACT:Keegan Boyle (University of British Columbia)
X-EXTRAINFO:Abstract:\nThis talk is about finite group actions on knots. Specifically, 
 I will state a theorem classifying symmetric knots into types, depending on
  the group action on the 3-sphere and the group action on the image of the 
 knot. This work relies on two key facts: any finite group action on a knot 
 must be cyclic or dihedral, and up to a natural equivalence we can work wit
 h subgroups of O(4) instead of subgroups of the diffeomorphism group. The c
 lassification then follows from studying orthogonal representations of cycl
 ic and dihedral groups. I will take special care to discuss some of the tec
 hnical issues involved, including the precise definition of symmetric knot,
  and the difference between working with oriented and unoriented objects. T
 his is joint work with Nicholas Rouse and Ben Williams. 
DTSTAMP:20260829T001144
DTSTART;TZID=America/New_York:20230411T160000
DTEND;TZID=America/New_York:20230411T170000
SEQUENCE:0
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