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Algebraic K-theory of THH(Fp)

Geometry-Topology Seminar

Thursday, December 3, 2020 - 4:30pm

Özgür Bayındır

Paris 13 University

Location

University of Pennsylvania

zoom

The Zoom link is: https://upenn.zoom.us/j/91890239234 This same Zoom link will apply for future talks as well. It is set to open at 4 PM so that speakers can come on early and check out their technology setups. The talks will begin at 4:30 PM. We will also stay afterwards, say from 5:30 - 6 PM to chat with one another, as an online substitute for going out to dinner with our speakers. We encourage everyone to have a nice bottle of wine at hand for that social half hour. For further information about the seminar, please contact Mona Merling (mmerling@math.upenn.edu), Davi Maximo (dmaxim@math.upenn.edu) or Herman Gluck (gluck@math.upenn.edu).

In this work, we study THH(Fp) from various perspectives. We

start with a new identification of THH(Fp) as an E_2-algebra.

Following this, we compute the K-theory of THH(Fp).

 

The first part of my talk is going to consist of an introduction to

ring spectra, 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.

 

This is a joint work with Tasos Moulinos.