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UID:6aa437bb42f77104d55fce6b51c22ee9
CATEGORIES:Special Colloquium
CREATED:20230420T151906
SUMMARY: Unknotting number and satellites
LOCATION:Hill   705
DESCRIPTION:Abstract: The unknotting number of a knot is the minimum number of crossing
  changes needed to untie the knot. It is one of the simplest knot invariant
 s to define yet remains notoriously difficult to compute. We will survey so
 me basic knot theory invariants and constructions, including the satellite 
 knot construction, a straightforward way to build new families of knots. We
  will give a lower bound on the unknotting number of certain satellites usi
 ng knot Floer homology. This is joint work with Tye Lidman and Jung Hwan Pa
 rk.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: The unknotting number of a knot is the minimum number of cross
 ing changes needed to untie the knot. It is one of the simplest knot invari
 ants to define yet remains notoriously difficult to compute. We will survey
  some basic knot theory invariants and constructions, including the satelli
 te knot construction, a straightforward way to build new families of knots.
  We will give a lower bound on the unknotting number of certain satellites 
 using knot Floer homology. This is joint work with Tye Lidman and Jung Hwan
  Park.</p>
CONTACT:Speaker:  Jennifer Hom (Georgia Tech)
DTSTAMP:20260830T101817
DTSTART;TZID=America/New_York:20230426T153000
DTEND;TZID=America/New_York:20230426T163000
SEQUENCE:0
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