Tools for Studying Topological CoHochschild Homology

Sarah Klanderman, Michigan State University

Algebraic topology is an area of mathematics that focuses on studying topological spaces using techniques and objects from abstract algebra. We will see this interplay between algebra and topology in a specific tool called topological coHochschild homology (coTHH). Hochschild homology (HH) is a classical algebraic invariant of rings that can be extended topologically to be an invariant of ring spectra, called topological Hochschild homology (THH). There exists a dual theory for coalgebras called coHochschild homology (coHH), and in recent work Hess and Shipley defined coTHH as an invariant of coalgebra spectra. In this talk we will discuss coTHH computations and the tools needed to do them.

Refreshments precede the talk at 3:30 p.m. in North Hall 282.