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SUMMARY:Lukas Woike (University of Burgundy)
DTSTART:20221121T150000Z
DTEND:20221121T160000Z
DTSTAMP:20260423T021112Z
UID:EQuAL/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/4/">Qu
 antum representations of mapping class groups and factorization homology</
 a>\nby Lukas Woike (University of Burgundy) as part of European Quantum Al
 gebra Lectures (EQuAL)\n\n\nAbstract\nQuantum representations of mapping c
 lass groups are finite-dimensional representations of mapping class groups
  that have their origin in quantum algebra (e.g. the representation theory
  of Hopf algebras) and that often has strong ties to three-dimensional top
 ological field theory. After explaining the interest in these representati
 ons from the perspectives of algebra\, topology and mathematical physics a
 nd how they can be formally described through modular functors\, I will gi
 ve an idea of the classical construction procedures. I will then present a
  new and more general construction procedure using cyclic and modular oper
 ads\, as well as factorization homology. The main result of this approach 
 is a classification of modular functors. This is based on different joint 
 works with Lukas Müller and Adrien Brochier.\n
LOCATION:https://researchseminars.org/talk/EQuAL/4/
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