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Through the action of an anti-holomorphic involution $\sigma$ (a realstructure) on a Riemann surface $X$, we consider the induced actions on ${\rmSL}(r,\mathbb{C})$-opers and study the real slices fixed by such actions. Byconstructing this involution for different descriptions of the space of ${\rmSL}(r,\mathbb{C})$-opers, we are able to give a natural parametrization of thefixed point locus via differentials on the Riemann surface, which in turnallows us to study their geometric properties.

Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers