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SUMMARY:Peter Huston (University of Leeds)
DTSTART:20251022T160000Z
DTEND:20251022T170000Z
DTSTAMP:20260423T035821Z
UID:TQFT/155
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/155/">A
 lgebraic techniques in 3-cateories of (2+1)D topological defects</a>\nby P
 eter Huston (University of Leeds) as part of Topological Quantum Field The
 ory Club (IST\, Lisbon)\n\n\nAbstract\nTopological phases of matter in (2+
 1)D should naturally form a 3-category\, in which k-morphisms represent de
 fects of codimension k. By the cobordism hypothesis\, the 3-categories of 
 (2+1)D topological order with a fixed anomaly are each equivalent to the 3
 -category of fusion categories enriched over a corresponding UMTC. In ongo
 ing work with Fiona Burnell\, we introduce algebraic techniques for concre
 te computations in 3-categories of (2+1)D topological order\, including a 
 tunneling approach to the classification of point defects which generalize
 s the use of braiding to identify anyon types. We then apply these techniq
 ues to compute ground state degeneracy and classify low energy excitations
  in a class of fracton-like (2+1)D topological defect networks.\n
LOCATION:https://researchseminars.org/talk/TQFT/155/
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