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SUMMARY:Traces\, current algebras\, and link homologies - David Rose (Univ
 ersity of North Carolina )
DTSTART:20170626T133000Z
DTEND:20170626T143000Z
UID:TALK73059@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We&#39\;ll show how categorical traces and foam categories can
  be used to define an invariant of braid conjugacy\, which can be viewed a
 s a "universal" type-A braid invariant. Applying various functors\, we rec
 over several known link homology theories\, both for links in the solid to
 rus\, and\, more-surprisingly\, for links in the 3-sphere. Variations on t
 his theme produce new annular invariants\, and\, conjecturally\, a homolog
 y theory for links in the 3-sphere which categorifies the sl(n) link polyn
 omial but&nbsp\;is distinct from the Khovanov-Rozansky theory. Lurking in 
 the background of this story is a family of current algebra representation
 s.<br><br>This is joint work with Queffelec and Sartori.<br><br>
LOCATION:Seminar Room 1\, Newton Institute
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