4 problems

Let $K/{\mathbb Q}_p$ be unramified, let $\overline\rho$ be absolutely irreducible, let $\lambda=(0,0)$ for each embedding, and let $t$ be a tame inertial type of level $f$. Let…

Let $K$ be a finite extension of $\Q_p$ with $p>2$, let $\mathbb F$ be a finite field, and let … be an $n$-dimensional continuous representation of the absolute Galois group…

Let $S$ be the set of indices at which the projection of the Kisin variety to the corresponding factor of $(\mathbb P^1_{k_E})^f$ is constant, and write $0=i_1<i_2<\cdots<i_r$ for…

Let $D^\psi({\bf v},{\rm t},\overline\rho)$ denote the potentially Barsotti–Tate deformation space, and let $\overline{\mathscr{G\!R}}^\psi({\bf v},{\rm t},\overline\rho)$ be the a…