Ningchuan Zhang

activity

20242026

collaborators

3 papers

math.AT2026

Picard groups of quotient ring spectra

Ishan Levy, Guchuan Li, Ningchuan Zhang

We develop tools to study Picard groups of quotients of ring spectra by a finitely generated ideal, which we use to show that $Pic (E_{n} / I) = Z /2$ , where $…

math.AT2025

The inverse limit topology and profinite descent on Picard groups in $K (n)$ -local homotopy theory

Guchuan Li, Ningchuan Zhang

In this paper, we study profinite descent theory for Picard groups in $K (n)$ -local homotopy theory through their inverse limit topology. Building upon Burklund's result on the mult…

math.KT2024

Equivariant algebraic $K$ -theory and Artin $L$ -functions

Elden Elmanto, Ningchuan Zhang

In this paper, we generalize the Quillen-Lichtenbaum Conjecture relating special values of Dedekind zeta functions to algebraic $K$ -groups. The former has been settled by…

Picard groups of quotient ring spectra

The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory

Equivariant algebraic K-theory and Artin L-functions

The inverse limit topology and profinite descent on Picard groups in $K (n)$ -local homotopy theory

Equivariant algebraic $K$ -theory and Artin $L$ -functions