Derived level structures in spectral algebraic geometry are representable, yielding Jacquet-Langlands spectra and a proposed Jacquet-Langlands dual of Morava E-theory.
The B ousfield- K uhn functor and topological A ndr\'e- Q uillen cohomology
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Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory
Derived level structures in spectral algebraic geometry are representable, yielding Jacquet-Langlands spectra and a proposed Jacquet-Langlands dual of Morava E-theory.