The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.
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Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.
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The Galois theory of $G$-spectra and the Burnside ring
The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.
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Structured Quotients in Real Homotopy Theory
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
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Structured Real Snaith Equivalences
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.