The previous lecture in this series is here. The next lecture in this series is here.
In this video, we finally give the definition of topological cyclic homology. In fact, we will give two definitions: the first is abstract in terms of a mapping spectrum spectrum in cyclotomic spectra and then we unfold this to a concrete definition on terms of negative topological cyclic homology and topological periodic homology.
This video was produced by the University of Münster, in particular the homotopy theory group there.