Higher mod $p$ Satake transforms: explicit formulas and images for ${\mathrm{GL}}_2$

Hargun Bhatia, Yashi Jain, Casey Perdue +1

Heyer's left adjoint to derived parabolic induction gives rise to higher mod $p$ Satake transforms \[ \mathcal S_V^i: \mathcal H_G(V) \longrightarrow \mathcal H_M\bigl(H^i(K_U,V)\b…