论文标题
完美的环作为汤姆光谱
Perfectoid rings as Thom spectra
论文作者
论文摘要
Hopkins-Mahowald Theorem意识到Eilenberg-Maclane Spectra $ h \ Mathbb f_p $作为所有Primes $ p \ in \ Mathbb n _ {> 0} $的所有Primes $ p \。在本文中，我们记录了Hopkins-Mahowald Theorem的概括的已知证据，并意识到$ HK $作为Perfect Rings $ K $的Thom Spectra，我们通过意识到$ hr $作为Perfectoid Rings $ r $ $ r $的thom Spectra来进一步概括。我们还讨论了对棱镜$（a，i）$的进一步概括，并指示了如何使我们的证据适应Breuil-kisin案例。
The Hopkins-Mahowald theorem realizes the Eilenberg-Maclane spectra $H\mathbb F_p$ as Thom spectra for all primes $p\in\mathbb N_{>0}$. In this article, we record a known proof of a generalization of Hopkins-Mahowald theorem, realizing $Hk$ as Thom spectra for perfect rings $k$, and we provide a further generalization by realizing $HR$ as Thom spectra for perfectoid rings $R$. We also discuss even further generalizations to prisms $(A,I)$ and indicates how to adapt our proofs to Breuil-Kisin case.
