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UID:20260908T000248EDT-3101juJm2k@132.216.98.100
DTSTAMP:20260908T040248Z
DESCRIPTION:Title: Lens space surgeries\, lattices\, and the Poincaré homol
 ogy sphere.\n\nAbstract: Moser's classification of Dehn surgeries on torus
  knots (1971) inspired a now fifty-years-old project to classify 'exceptio
 nal' Dehn surgeries on knots in the three-sphere. A prominent component of
  this project seeks to classify which knots admit surgeries to the 'simple
 st' non-trivial 3-manifolds--lens spaces. By combining data from Floer hom
 ology and the theory of integer lattices into the notion of a changemaker 
 lattice\, Greene (2010) solved the lens space realization problem: every l
 ens space which may be realized as surgery on a knot in the three-sphere m
 ay be realized by a knot already known to surger to that lens space (i.e. 
 a Berge knot). In this talk\, we present a survey of techniques in Dehn su
 rgery and their applications\, introduce a lattice theoretic construction 
 in the spirit of Greene's changemaker lattices\, and discuss applications 
 to surgeries on knots in the Poincaré homology sphere. \n\nFor Zoom meetin
 g please contact haedrich.alexandra [at] uqam.ca\n
DTSTART:20220225T160000Z
DTEND:20220225T170000Z
SUMMARY:Jacob Caudell (Boston College)
URL:https://www.mcgill.ca/mathstat/channels/event/jacob-caudell-boston-coll
 ege-337950
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