@inproceedings{5cef8344ce434f0382d5c2d84c5f43ac,

title = "On quasi-categories of comodules and landweber exactness",

abstract = "In this paper we study quasi-categories of comodules over coalgebras in a stable homotopy theory. We show that the quasi-category of comodules over the coalgebra associated to a Landweber exact S-algebra depends only on the height of the associated formal group. We also show that the quasi-category of E(n)-local spectra is equivalent to the quasi-category of comodules over the coalgebra (Formula Presented) for any Landweber exact S(p)-algebra A of height n at a prime p. Furthermore, we show that the category of module objects over a discrete model of the Morava E-theory spectrum in K(n)-local discrete symmetric Gn-spectra is a model of the K(n)-local category, where Gn is the extended Morava stabilizer group.",

keywords = "Comodule, Complex oriented spectrum, K(n)-local category, Landweber exactness, Quasi-Category, Stable homotopy theroy",

author = "Takeshi Torii",

note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Bousfield Classes form a set: in Memory of Testusuke Ohkawa, BouCla 2015 ; Conference date: 28-08-2015 Through 30-08-2015",

year = "2020",

doi = "10.1007/978-981-15-1588-0_11",

language = "English",

isbn = "9789811515873",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "325--380",

editor = "Takeo Ohsawa and Norihiko Minami",

booktitle = "Bousfield Classes and Ohkawa{\textquoteright}s Theorem, BouCla 2015",

}