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SUMMARY:Corey Jones (North Carolina State University)
DTSTART:20250903T160000Z
DTEND:20250903T170000Z
DTSTAMP:20260423T021420Z
UID:TQFT/148
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/148/">L
 evin–Wen models: a mathematician's perspective from the boundary</a>\nby
  Corey Jones (North Carolina State University) as part of Topological Quan
 tum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nTopological quantum ma
 ny-body systems on the lattice are characterized by having the property th
 at their low energy effective theories are TQFTs. Levin–Wen models are c
 lasses of spin systems on the 2D lattice whose low energy effective theori
 es are Turaev–Viro TQFTs. The problem (from a mathematician's perspectiv
 e) is that low energy effective theories are not at all well-defined! This
  leads to the question: for systems that (supposedly) exhibit topological 
 order\, how can we see the emergent TQFT directly on the lattice in the in
 finite volume limit? We will discuss our recently proposed approach to mat
 hematically formalize the ideas of topological holography in terms of boun
 dary algebras\, and explain how this provides a solution for systems with 
 local topological order.\n
LOCATION:https://researchseminars.org/talk/TQFT/148/
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