Title: An introduction to Topological Hochschild Homology (THH)



Abstract: Algebraic K-theory tells us about manifolds. Or it would, if we could calculate it. In the 1980's, Bokstedt, Goodwillie, Waldhausen, and others proposed other means of understanding K-theory. Importing the algebraic notion of Hochschild homology into the world of topology gives one approximation to K-theory. I will describe a construction of this theory and discuss the calculation of THH of a loop space. This material will appear again in the talk of John Lind.