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SUMMARY:Christoph Schweigert (University of Hamburg)
DTSTART:20240522T160000Z
DTEND:20240522T170000Z
DTSTAMP:20260423T024616Z
UID:TQFT/112
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/112/">T
 races and higher structures</a>\nby Christoph Schweigert (University of Ha
 mburg) as part of Topological Quantum Field Theory Club (IST\, Lisbon)\n\n
 \nAbstract\nQuantum topologists are used to thinking about traces in the f
 ramework of pivotal tensor categories and thus in a two-dimensional contex
 t to which a two-dimensional graphical calculus can be associated. We expl
 ain that traces are already naturally defined for twisted endomorphisms of
  linear categories\, i.e. in a one-dimensional context. The endomorphisms 
 are twisted by the Nakayama functor which\, for a module category over a m
 onoidal category\, is a twisted module functor and hence an inherently thr
 ee-dimensional object. This naturally leads to a three-dimensional graphic
 al calculus. This calculus also has applications to Turaev–Viro topologi
 cal field theories with defects.\n
LOCATION:https://researchseminars.org/talk/TQFT/112/
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