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SUMMARY:Sean Sanford (University of Edinburgh)
DTSTART:20251105T100000Z
DTEND:20251105T110000Z
DTSTAMP:20260423T052623Z
UID:EQuAL/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/46/">A
  Curious Braided Category over R</a>\nby Sean Sanford (University of Edinb
 urgh) as part of European Quantum Algebra Lectures (EQuAL)\n\n\nAbstract\n
 In quantum mechanics\, time reversal symmetry is generally understood in t
 erms of an antiunitary operator.  When a fusion category over C has an ant
 iunitary symmetry\, the fixed points of such a symmetry form a fusion cate
 gory over the real numbers.  Since fusion categories are meant to describe
  systems of particles\, the resulting real fusion category describes those
  particles that are time-reversal invariant.\n \nIn recent joint work with
  Thibault Décoppet (https://arxiv.org/abs/2412.15019)\, we discovered a c
 ertain braided fusion category over R that represents a higher dimensional
  analogue of the quaternions. Based on recent conjectures regarding the Wi
 tt group of nondegenerate braided fusion categories\, we expect that this 
 category generates the kernel of the map Witt(Vec_R)->Witt(Vec_C)\, which 
 is just Z/2.\n \nIn this talk\, I will describe this curious category: its
  fusion rules and braiding\, how it comes about\, and it's significance fr
 om the perspective of condensed matter.\n
LOCATION:https://researchseminars.org/talk/EQuAL/46/
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