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Stavros Tsalidis: `Topological Witt homology and topological cyclic homology'.

We will define the notion of a special symmetric monoidal category,
and consider symmetric monoidal functors F from such a category to the
category of based spaces with smash product as its monoidal operation.
Particular cases of such functors F are the FSP's introduced by
Bökstedt, as well as J. Smith's symmetric spectra. Given such
a functor F and a topological group G, we construct a cyclic spectrum
whose geometric realization is called here the topological Burnside-Witt
homology of F. Applying this construction with F an FSP and G a finite
cyclic group, one gets the G-fixed points of the Topological Hochschild
homology spectrum of F, as defined by Bökstedt. Further properties
of the Burnside-Witt construction will be recounted if time permits.