Department of Mathematics

Geometry and Topology

  •  Renaud Detcherry, Institut de Mathématiques de Bourgogne
  •  Title: On the kernel of Witten-Reshetikhin-Turaev quantum representations
  •  02/14/2023
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Efstratia Kalfagianni (

Abstract: Witten-Reshetikhin-Turaev SO(3) quantum representations are a family of representations of mapping class groups of surfaces. The family is asymptotically faithful, but each representation has kernel: indeed, r-th powers of Dehn twists are in the kernel of the level r quantum representation. An open question is whether the kernel is generated by r-th powers of Dehn twists; we will present partial results on this question, by relating the so-called "h-adic expansion" of quantum representations to Johnson homomorphisms.



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