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arXiv · 2104.07306

Complex orientations and $\text{TP}$ of complete DVRS

Gabriel Angelini-Knoll
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Abstract

Let $L$ be finite extension of $\mathbb{Q}_p$ with ring of integers $\mathcal{O}_L$. I show that periodic topological cyclic homology of $\mathcal{O}_L$, over the base $\mathbb{E}_{\infty}$-ring $\mathbb{S}_{W(\mathbb{F}_q)}[z]$ carries a $p$-height one formal group law mod $p$ that depends on the Eisenstein polynomial of $L$ over $\mathbb{Q}_p$ for a choice of uniformizer $\varpi\in \mathcal{O}_L$.

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Gabriel Angelini-Knoll. 2021-04-15. Complex orientations and $\text{TP}$ of complete DVRS. https://arxiv.org/abs/2104.07306

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