From algebraic K-theory to THH and cyclotomic spectra
The algebraic K-theory of a commutative ring is an important invariant with applications in algebra, number theory, and topology. Compared to its topological counterpart, computations for algebraic K-theory are much more subtle as it lacks many nice properties of the former. In this talk we will give an overview of a method of studying algebraic K-theory by looking at computable approximations such as Hochschild homology and its variants.