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SUMMARY:Eigenvalues of rotations and braids in spherical fusion categories
  - Henry Tucker (University of California\, San Diego)
DTSTART:20170127T143000Z
DTEND:20170127T153000Z
UID:TALK70347@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Daniel Barter (University of Michigan)\, Cor
 ey Jones (Australian National University)<br></span><br>Using the generali
 zed categorical Frobenius-Schur indicators for semisimple spherical catego
 ries we have established formulas for the multiplicities of eigenvalues of
  generalized rotation operators. In particular\, this implies for a finite
  depth planar algebra\, the entire collection of rotation eigenvalues can 
 be computed from the fusion rules and the traces of rotation at finitely m
 any depths. If the category is also braided these formulas yield the multi
 plicities of eigenvalues for a large class of braids in the associated bra
 id group representations. This provides the eigenvalue multiplicities for 
 braids in terms of just the S and T matrices in the case where the categor
 y is modular.<br><br>Related Links<ul><li><a target="_blank" rel="nofollow
 ">https://arxiv.org/abs/1611.00071</a>&nbsp\;- arXiv:1611.00071</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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