3 problems

Let $F$ be a non-Archimedean local field, let $\boldsymbol{o}$ be its ring of integers, and use the notation $B(\gamma)^{\mathrm{irred}}$, $B(\gamma)^{\mathrm{split}}$, $d_i$,…

Let $L$ be a unimodular hermitian lattice over the ring of integers $\boldsymbol{o}_E$ of an unramified quadratic extension $E/F$, and let $M,M'$ be sublattices of $L$. Write…

Let $F$ be a non-Archimedean local field, let $\boldsymbol{o}$ be its ring of integers with residue field $\boldsymbol{\text{}}$ of cardinality $q$, and let…