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• The stable Galois correspondence for real closed fields; An Etale realization which does NOT exist; Multiplicative structure on real Johnson-Wilson theory; The Morita equivalence between parametrized spectra and module spectra; tmf is not a ring spectrum quotient of string bordism; schemes and $MU[2k,\infty)$-orientations; The linearity of fixed point invariants; Homotopy coherent centers versus centers of homotopy categories; Developments on noncommutative motives; The category of Waldhausen categories is a closed multicategory.