$\mathrm{TR}$ of quasiregular semiperfect rings is even

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Micah Darrell , Noah Riggenbach This is my paper · ORCID

classification math.KTmath.ATmath.NT

keywords mathrmquasiregularsemiperfectevenmathbbrings

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abstract

We show that $\mathrm{TR}_{2i+1}(S)=0$ for all $i\in \mathbb{N}$ and all $S$ quasiregular semiperfect.

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Cyclotomic synthetic spectra
math.KT 2024-11 conditional novelty 8.0 of 10

The motivic filtration on THH(R;Z_p) is shown to be a p-typical cyclotomic synthetic spectrum, with applications to TC and syntomic cohomology bounds.