Allen Yuan

activity

20142023

most citedThe Chromatic Nullstellensatz

6 citations · 24 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.KT2021

Examples of chromatic redshift in algebraic $K$ -theory

Allen Yuan

We give a simple argument to detect chromatic redshift in the algebraic $K$ -theory of $E_{\infty}$ -ring spectra and give two applications: we show for $n \geq 1$ that $K(E_…

math.KT2021

Chromatic convergence for the algebraic K-theory of the sphere spectrum

Andrew J. Blumberg, Michael A. Mandell, Allen Yuan

We show that the map from $K (S)$ to its chromatic completion is a connective cover and identify the fiber in $K$ -theoretic terms. We combine this with recent work of Land…

math.AT2021★ 3 cited

Higher semiadditive Grothendieck-Witt theory and the $K (1)$ -local sphere

Shachar Carmeli, Allen Yuan

We develop a higher semiadditive version of Grothendieck-Witt theory. We then apply the theory in the case of a finite field to study the higher semiadditive structure of the $K(1)…

math.KT2021★ 1 cited

A version of Waldhausen's chromatic convergence for $T C$

Andrew J. Blumberg, Michael A. Mandell, Allen Yuan

The map $T C (S)_{p}^{\land} \to holim T C (L_{n} S)_{p}^{\land}$ is a weak equivalence.

Examples of chromatic redshift in algebraic K-theory

Chromatic convergence for the algebraic K-theory of the sphere spectrum

Higher semiadditive Grothendieck-Witt theory and the K(1)-local sphere

A version of Waldhausen's chromatic convergence for TC

Examples of chromatic redshift in algebraic $K$ -theory

Higher semiadditive Grothendieck-Witt theory and the $K (1)$ -local sphere

A version of Waldhausen's chromatic convergence for $T C$