- 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 (kalfagia@msu.edu)
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.
