Topological Quantum Field Theory Seminar   RSS

05/11/2019, 15:30 — 16:00 — 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.

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Current organizers: José MourãoRoger Picken, Marko Stošić


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.