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Geometry-Topology Seminar

Thursday, April 15, 2021 - 4:30pm

Sarah Klanderman

Marian University


University of Pennsylvania

via Zoom

The Zoom link is: This same Zoom link will apply for future talks as well. It is set to open at 4 PM so that speakers can come on early and check out their technology setups. The talks will begin at 4:30 PM. We will also stay afterwards, say from 5:30 - 6 PM to chat with one another, as an online substitute for going out to dinner with our speakers. We encourage everyone to have a nice bottle of wine at hand for that social half hour. For further information about the seminar, please contact Mona Merling (, Davi Maximo ( or Herman Gluck (

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, we would like to have computational tools to study coalgebras over other ring spectra as well. In this talk, I will describe a relative coBökstedt spectral sequence that I developed in order to study the topological coHochschild homology of more general coalgebra spectra. We will look at a few examples of coalgebra spectra and use the additional algebraic structure of the spectral sequence to complete coTHH computations.