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SUMMARY:Adrià Marin Salvador (University of Oxford)
DTSTART:20260121T100000Z
DTEND:20260121T110000Z
DTSTAMP:20260423T052805Z
UID:EQuAL/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/50/">C
 ontinuous Tensor Categories and Direct Integrals</a>\nby Adrià Marin Salv
 ador (University of Oxford) as part of European Quantum Algebra Lectures (
 EQuAL)\n\n\nAbstract\nFinitely semisimple tensor categories are ubiquitous
  in quantum algebra: they appear in the representation theory of Hopf alge
 bras\, quantum groups\, TQFTs\, CFTs\, and others. However\, one usually n
 eeds extra adjectives to ensure that the categories one comes across satis
 fy the necessary finite properties of finitely semisimple tensor categorie
 s. Without enough adjectives\, one sometimes encounters tensor categories 
 which are still “semisimple”\, but have continuously many simple objec
 ts\, and a generic object is a direct integral of such simple objects\, as
  opposed to a direct sum. In this talk\, we will introduce a new model to 
 treat these type of categories: continuous tensor categories\; and provide
  some basic examples. Time permitting\, we will explore how continuous ten
 sor categories allow us to compute certain categories appearing in the stu
 dy of non-rational 2d conformal field theories such as the non-compact bos
 on and related theories.\n
LOCATION:https://researchseminars.org/talk/EQuAL/50/
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