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SUMMARY:William Worden (Rice)
DTSTART:20200623T153000Z
DTEND:20200623T160000Z
DTSTAMP:20260423T020953Z
UID:GaTO/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/18/">De
 hn filling and knot complements that do not irregularly cover</a>\nby Will
 iam Worden (Rice) as part of Geometry and topology online\n\n\nAbstract\nI
 t is a longstanding conjecture of Neumann\nand Reid that exactly three kno
 t complements can irregularly\ncover a hyperbolic orbifold -- the figure-e
 ight knot and the two\nAitchison--Rubinstein dodecahedral knots.  This con
 jecture\,\nwhen combined with work of Boileau--Boyer--Walsh\, implies a\nm
 ore recent conjecture of Reid and Walsh\, which states that\nthere are at 
 most three knot complements in the commensurability\nclass of any hyperbol
 ic knot.  We give a Dehn filling criterion\nthat is useful for producing l
 arge families of knot\ncomplements that satisfy both conjectures.\n\nThe w
 ork we will discuss is partially joint with Hoffman and\nMillichap and als
 o partially joint with Chesebro\, Deblois\,\nHoffman\, Millichap\, and Mon
 dal.\n
LOCATION:https://researchseminars.org/talk/GaTO/18/
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