25th NRW Topology Meeting

Speaker: Thomas Nikolaus

Title: A new approach to topological cyclic homology

Abstract:

Hochschild homology as well as its topological analogue THH are by now well understood from a conceptual point of view (for example using cyclic object or as a special case of factorisation homology). Then as a secondary invariant from that Connes defined cyclic homology and negative cyclic homology. The topological analogue of cyclic homology as defined by Bökstedt, Hsiang, Madsen however is more involved and relies on point set models. We will give a new and more conceptual description of that. This is report on joint work with P. Scholze.