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SUMMARY:Lukas Müller (Max Planck Institute for Mathematics\, Bonn)
DTSTART:20221205T150000Z
DTEND:20221205T160000Z
DTSTAMP:20260423T021111Z
UID:EQuAL/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/5/">Re
 flection Structures and Spin Statistics in Low Dimensions</a>\nby Lukas M
 üller (Max Planck Institute for Mathematics\, Bonn) as part of European Q
 uantum Algebra Lectures (EQuAL)\n\n\nAbstract\nIn physics the spin of a pa
 rticle determines its statistics.\n\nFurthermore\, physical systems (in Eu
 clidean signature) usually have a reflection structure\, i.e. an identific
 ation of orientation reversal with complex conjugation. Neither of these t
 wo structures is part of Atiyah's original definition of topological quant
 um field theories.\n\nThey can be formulated in the setting of functorial 
 field theories as equivariant symmetric monoidal functors from a bordism c
 ategory to an appropriate target. Based on the cobordism hypothesis I will
  present a complete classification of such functors in dimension one and t
 wo. The answers can be formulated in terms of algebraic objects associated
  to an internal fermionic symmetry (2-)group. The talk is based on joint w
 ork in progress with Luuk Stehouwer.\n
LOCATION:https://researchseminars.org/talk/EQuAL/5/
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