9 problems

Let $M$ be the hyperbolic $3$-manifold under consideration, let $B$ be its relevant deformation space, and let $\mathcal C$ be a non-empty collection of curves in $M$. Set … Let…

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…

Finite-components conjecture.

Non-manifold conjecture.

Non-local-connectivity conjecture.

Bromberg's surface-group conjecture.

Let $S$ be a surface, and let a Bers' slice for $S$ be the corresponding quasifuchsian deformation slice. Bers' slice conjecture. If $S$ is not a punctured torus or a $4$-times pun…

Let $S$ be a compact surface with boundary. Write $AH(S\times[0,1],\partial S\times[0,1])$ for the deformation space of marked hyperbolic structures on the pared $3$-manifold…