Picard groups and duality for real Morava E–theories

Monochromatic homotopy theory is asymptotically algebraic

“…where P n,p ∈ κ n,p . This formula is a source for the construction of exotic elements in the Picard group, see for example [BBS19,HLS21].…”

Odd primary analogs of real orientations

“…with domain the spectrum of Real bordism; see Araki and Murayama [2] and Hu and Kriz [22]. These orientations have proved invaluable to the study of 2-local chromatic homotopy theory, leading to an explosion of progress surrounding the Hill-Hopkins-Ravenel solution of the Kervaire invariant one problem; see Beaudry, Bobkova, Hill and Stojanoska [3], Beaudry, Hill, Shi and Zeng [4], Greenlees and Meier [8], Hahn and Shi [9], Heard, Li and Shi [10], Hill and Meier [19], Hill, Hopkins and Ravenel [17], Hill, Shi, Wang and Xu [20], Kitchloo, Lorman and Wilson [23], Li, Lorman and Quigley [25], Li, Shi, Wang and Xu [26] and Meier, Shi and Zeng [28].…”