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SUMMARY:David Reutter (Hamburg)
DTSTART:20221101T150000Z
DTEND:20221101T160000Z
DTSTAMP:20260423T021133Z
UID:SymSem/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SymSem/18/">
 Higher fusion categories and their fusion rings</a>\nby David Reutter (Ham
 burg) as part of Symmetry Seminar\n\n\nAbstract\nHigher fusion categories 
 are certain algebraic gadgets which capture some of the behavior of topolo
 gical operators/defects in higher-dimensional quantum field theories. \n\n
 In the first part of this talk\, I will give an introduction to the basic 
 concepts of higher fusion category theory and overview some key examples. 
 If time permits\, I will then explain how every fusion n-category C has as
 sociated `homotopy sets' pi_k C\, defined as a certain quotient of the set
  of (k+1)-codimensional operators. I will sketch how these sets pi_k C car
 ry a kind of fusion ring structure and how in the modular case this fusion
  ring structure can be recovered from a higher-dimensional Verlinde formul
 a.\n\n \n\nThe first part of this talk is based on arXiv:1812.11933 (joint
  with Christopher Douglas)\, the second part is based on ongoing joint wor
 k with Theo Johnson-Freyd.\n
LOCATION:https://researchseminars.org/talk/SymSem/18/
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