Topological CoHochschild Homology Calculations
Event details
| Date | 01.12.2020 |
| Hour | 17:00 › 18:00 |
| Speaker | Sarah Klanderman, Marian University |
| Location | |
| Category | Conferences - Seminars |
In recent work, Hess and Shipley defined an invariant of coalgebra spectra called topological coHochschild homology (coTHH). In 2018, Bohmann-Gerhardt-Høgenhaven-Shipley-Ziegenhagen developed a coBökstedt spectral sequence to compute the homology of coTHH for coalgebras over the sphere spectrum. However, examples of coalgebras over the sphere spectrum are limited, and we would like to have computational tools to study coalgebras over other ring spectra. In this talk I’ll describe a relative coBökstedt spectral sequence that I developed in order to study the topological coHochschild homology of more general coalgebra spectra. We’ll look at a few examples of coalgebra spectra and use the additional algebraic structure of the spectral sequence to complete coTHH computations.
Practical information
- Expert
- Free