5 papers · 1 filter
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…
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 $…
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…