Thursday 8 Septemer 2016, 16:00 - 17:00, in HG00.062
Steffen Sagave (RU)
Topological generalizations of Hochschild homology
After reviewing the definition of Hochschild homology, I will outline how this theory can be generalized by allowing the sphere spectrum of stable homotopy theory as a ground ring. The resulting topological Hochschild homology is useful because it receives a trace map from algebraic K-theory, and I will present both computations and structural results for topological Hochschild homology and some of its refinements.