Moduli stack of oriented formal groups and the chromatic filtration

Autor:	Gregoric, Rok
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Topology Mathematics - Algebraic Geometry 14A30 55N22 55P43
Druh dokumentu:	Working Paper
Popis:	We define a filtration by open substacks on the non-connective spectral moduli stack of formal oriented groups, which simultaneously encodes and relates the chromatic filtration of spectra and the height stratification of the classical moduli stack of formal groups. Using this open filtration, we express various classical constructions in chromatic homotopy theory, such as chromatic localization, the monochromatic layer, and $K(n)$-localization, in terms of restriction and completion of sheaves in non-connective spectral algebraic geometry. Comment: 37 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.15202 Zobrazit plný text záznamu View this record from Arxiv