turkmath.org

In this work, we study $THH(\mathbb{F}_p)$ from various perspectives. We start with a new identification of $THH(\mathbb{F}_p)$ as an $E_2$-algebra. Following this, we compute the $K$-theory of $THH(\mathbb{F}_p)$. 

The first part of my talk is going to consist of an introduction to algebraic $K$-theory and the Nikolaus Scholze approach to trace methods In the second part, I will introduce our results and the tools we develop to study the topological Hochschild homology of graded ring spectra and formal differential graded algebras. 

This is a joint work with Tasos Moulinos.