On the non-Archimedean Hitchin map for ${\mathrm{SL}}_2(F)$

Jiahuang Chen, Siqi He

Let $F$ be a non-Archimedean valued field, $\Sigma$ a closed Riemann surface of genus at least two, and $\Gamma$ its fundamental group. Building on the theory of equivariant harmonic maps in…