25th NRW Topology Meeting

Speaker: Rosona Eldred

Title: Equivalence of models for deRham cohomology of ring spectra

Abstract:

The HKR theorem gives us an important equivanece between the Hochschild homology groups and the groups in the chain complex used to calculate deRham cohomology, for (rational) commutative differential graded algebras. Kantorovitz-McCarthy realized this as a statement about the layers of the Taylor tower of a certain functor. In joint work with Bauer, Johnson and McCarthy¸we use the recently developed unbased calculus to promote this to a statement for ring spectra, conjectured originally by Waldhausen, and show it is equivalent to another proposed combinatorial model.