About: Moduli stack of formal group laws

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In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by . It is a "geometric “object" that underlies the chromatic approach to the stable homotopy theory, a branch of algebraic topology.

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  • In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by . It is a "geometric “object" that underlies the chromatic approach to the stable homotopy theory, a branch of algebraic topology. Currently, it is not known whether is a derived stack or not. Hence, it is typical to work with stratifications. Let be given so that consists of formal group laws over R of height exactly n. They form a stratification of the moduli stack . is faithfully flat. In fact, is of the form where is a profinite group called the Morava stabilizer group. The Lubin–Tate theory describes how the strata fit together. (en)
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  • In algebraic geometry, the moduli stack of formal group laws is a stack classifying formal group laws and isomorphisms between them. It is denoted by . It is a "geometric “object" that underlies the chromatic approach to the stable homotopy theory, a branch of algebraic topology. (en)
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  • Moduli stack of formal group laws (en)
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