5 papers
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 , where $…
Periodicity and finite complexity in higher real -theories
Zhipeng Duan, Michael A. Hill, Guchuan Li +4
In this paper, we establish periodicity results for higher real -theories at all heights and for all finite subgroups of the Morava stabilizer group at the prime 2. We further a…
A sparse periodic family in the cohomology of the -motivic Steenrod algebra
Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2
We study a particular family of elements in the cohomology of the -motivic Steenrod algebra, also known as the -motivic Adams -page. This family exhibi…
Exotic periodic phenomena in the cohomology of the moduli stack of -dimensional formal group laws
Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2
We describe some periodic structure in the cohomology of the moduli stack of 1-dimensional formal group laws, also known as the -page of the classical Adams--Novikov spectral…
The inverse limit topology and profinite descent on Picard groups in -local homotopy theory
Guchuan Li, Ningchuan Zhang
In this paper, we study profinite descent theory for Picard groups in -local homotopy theory through their inverse limit topology. Building upon Burklund's result on the mult…