Room P3.31, Mathematics Building

Roger Picken, Instituto Superior Técnico
Research topics in higher gauge theory, knot theory, and anyons

Under the heading higher gauge theory I will briefy discuss:

  • gerbes on supergroups (to be described by John Huerta in his talk).
  • the relation between 2-group (discretized) connections and transports (with Jeff Morton).
  • surface transport in 3D quantum gravity (with Jeanette Nelson).

I will then focus on two projects:

  • development of the Eisermann invariant of knots (based on previous work with João Faria Martins).
  • (higher) gauge theoretical models for anyons in topological quantum computation.

Part of the Higher Structures and Applications mini-meeting, 5-6 Nov. 2019.

Projecto FCT UID/MAT/04459/2019.