• Corpus ID: 233240959

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

@inproceedings{AngeliniKnoll2021ComplexOA,
  title={Complex orientations and \$\text\{TP\}\$ of complete DVRS},
  author={Gabe Angelini-Knoll},
  year={2021}
}
. Let L be finite extension of Q p with ring of integers O L . We show that periodic topo- logical cyclic homology of O L , over the base E ∞ -ring S W ( F q ) [ z ] carries a p -height one formal group law mod ( p ) that depends on an Eisenstein polynomial of L over Q p for a choice of uniformizer ̟ ∈ O L 

References

SHOWING 1-10 OF 37 REFERENCES
B\"okstedt periodicity and quotients of DVRs
In this note we compute the topological Hochschild homology of quotients of DVRs. Along the way we give a short argument for Bokstedt periodicity and generalizations over various other bases. Our
Topological Hochschild homology and integral p$p$-adic Hodge theory
In mixed characteristic and in equal characteristic p$p$ we define a filtration on topological Hochschild homology and its variants. This filtration is an analogue of the filtration of algebraic
The Topological Singer Construction
We study the continuous (co-)homology of towers of spectra, with emphasis on a tower with homotopy inverse limit the Tate construction X tG on a G-spectrum X. When G = Cp is cyclic of prime order and
Purity in chromatically localized algebraic $K$-theory.
We prove a purity property in telescopically localized algebraic $K$-theory of ring spectra: For $n\geq 1$, the $T(n)$-localization of $K(R)$ only depends on the $T(0)\oplus \dots \oplus
Complex Cobordism and Stable Homotopy Groups of Spheres
An introduction to the homotopy groups of spheres Setting up the Adams spectral sequence The classical Adams spectral sequence $BP$-theory and the Adams-Novikov spectral sequence The chromatic
Redshift and multiplication for truncated Brown-Peterson spectra
We equip $\mathrm{BP} \langle n \rangle$ with an $\mathbb{E}_3$-$\mathrm{BP}$-algebra structure, for each prime $p$ and height $n$. The algebraic $K$-theory of this $\mathbb{E}_3$-ring is of
A multiplicative Tate spectral sequence for compact Lie group actions
Given a compact Lie group $G$ and a commutative orthogonal ring spectrum $R$ such that $R[G]_* = \pi_*(R \wedge G_+)$ is finitely generated and projective over $\pi_*(R)$, we construct a
Differentials in the homological homotopy fixed point spectral sequence
We analyze in homological terms the homotopy fixed point spec- trum of a T-equivariant commutative S-algebra R. There is a homological homotopy fixed point spectral sequence with E 2 = H s gp (T;
H Ring Spectra and Their Applications
Extended powers and H? ring spectra.- Miscellaneous applications in stable homotopy theory.- Homology operations for H? and Hn ring spectra.- The homotopy theory of H? ring spectra.- The homotopy
...
...