Algebraic $K$-theory of $THH(\mathbb{F}_p)$

Abstract: 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.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic

( video )

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Cihan Okay

Series comments: Contact the organizer to get access to Zoom.

Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos

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