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SUMMARY:Colleen Delaney (Purdue University)
DTSTART:20240828T160000Z
DTEND:20240828T170000Z
DTSTAMP:20260423T021331Z
UID:TQFT/125
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/125/">A
 n efficient* classical algorithm for some quantum invariants of 3-manifold
 s</a>\nby Colleen Delaney (Purdue University) as part of Topological Quant
 um Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nWe will share some rece
 nt results that are instructive for approaching the classification of 3d T
 QFTs and topological order by computational complexity. We show that the T
 uraev-Viro-Barrett-Westbury state sum TQFT invariants of 3-manifolds that 
 arise from Tambara-Yamagami fusion categories can actually be computed in 
 polynomial time on a classical computer\, provided that there is a bound o
 n the first Betti number. On the other hand\, if we don’t insist on a bo
 und on the first Betti number\, then the invariants should be NP-hard to c
 ompute. This talk is based on joint work with Clément Maria and Eric Samp
 erton.\n\nPlease note that this session will not be recorded.\n
LOCATION:https://researchseminars.org/talk/TQFT/125/
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