Work

Examples of chromatic redshift in algebraic $K$-theory

Year: 2024

Type: article

Abstract: We give a simple argument to detect chromatic redshift in the algebraic K -theory of \mathbb{E}_{\infty} -ring spectra and give two applications: we show for n\geq 1 that K(E_{n}) , the algebraic K -theory of any height n Lubin–Tate theory, has nontrivial T(n+1) -localization, and that K^{(n)}(k) , the n -fold iterated algebraic K -theory of a field k of characteristic different from the implicit prime p , has nontrivial T(n) -localization.

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1527

Author: Allen Yuan

Institution: Columbia University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402128938

FWCI: 2.626

Cites:

Cited by: 4

Related to: 10