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Recently I came across a paper which I really need to read through and which uses language of Morava $E$-theory. Since I'm not comfortable with this cohomology theory, I've been looking for quite a while some source to read (at least the basics) but wasn't able to find out something concrete. Does anyone know where can someone learn about Morava $E$-theory? I highly doubt that some self-contained textbook exists that covers this particular material, therefore any instructive paper or preprint is what am looking for most likely!

P.S. The same question had been asked yesterday on MSE, where I got no answer or comment (I deleted today). I didn't know if it is or not suitable for MSE from the beginning, therefore I ask here!

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    $\begingroup$ I don't know what your background in homotopy theory is, but Lurie's notes at math.harvard.edu/~lurie/252x.html and Rezk's paper math.uiuc.edu/~rezk/hopkins-miller-thm.pdf are very nice. $\endgroup$
    – skd
    Commented Jun 11, 2018 at 15:37
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    $\begingroup$ @skd That should be an answer. Also, let me mention Ravenel's Nilpotence and periodicity $\endgroup$
    – Denis Nardin
    Commented Jun 11, 2018 at 15:39
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    $\begingroup$ @skd Indeed that could be an answer, at Lecture 21 Lurie defines it, and seems that sets up the background to do so nicely in the previous lectures. Thank you! $\endgroup$
    – mayer_vietoris
    Commented Jun 11, 2018 at 15:46

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