Holiday thoughts on Tannaka duality

Ross Street – 15 January 1997

Despite the work of Doplicher-Roberts, Saavedra Rivano, and Deligne, there is more to be understood about the strong form of Tannaka duality which starts with a linear monoidal category without a given vector-space- valued "fibre" functor. Indeed, the lovely preprint Julien Bichon, "Trivialisations dans les categories tannakiennes" (Prepublication 1996/14, Dept des Sciences Math, Universite Montpellier II) significantly advances our knowledge of the area. My talk was basically a report on that preprint together with some ideas for further directions.