Reuben Learns: Nikolaus-Scholze 'On Topological Cyclic Homology' 1

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Hi all! Sorry for the long silence since my last upload.

In this series, I'm reading through important papers and learning some math I've wanted to learn for a while and narrating it to myself but also to you all at the same time! I have a goal of understanding the recent bulk of work done by Bhatt-Clausen-Lurie-Mathew-Morrow-Scholze and others on p-adic geometry and homotopical methods in arithmetic geometry. It's a massive amount of research that is totally over my head at the moment, but it seems to be super important and I would like to know some of the basics.

I'm starting with Thomas Nikolaus and Peter Scholze's monumental paper "On Topological Cyclic Homology" as it is the most accessible to me given my current background.

I may go on some tangents to survey papers about fundamental background, like higher algebra and spectral algebraic geometry.

Leave a comment if you find this interesting or have specific papers, books, and topics you'd like me to learn in real time!
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Is there any reference on Ring Spectra and En algebras

_faraz