Real characters and real classes of ${\mathrm{GL}}_2$ and ${\mathrm{GU}}_2$ over discrete valuation rings

Archita Gupta, Tejbir Lohan, Pooja Singla

Let $\mathfrak{o}$ be the ring of integers of a non-archimedean local field with residue field of odd characteristic, $\mathfrak{p}$ be its maximal ideal and let $\mathfrak{o}_\ell…