3 problems

Schneider–Stuhler's conjecture. The filtration $F^\bullet$ essentially coincides with the monodromy filtration $M_\bullet$.

Let $k$ be separably closed, let $\Lambda$ be an algebraic extension of $\overline{\mathbb Q}_\ell$, and let $X\to\mathbb A^1_k$ be a morphism. For a semisimple perverse sheaf…

Let $K$ be a complete discrete valuation field of characteristic zero with finite residue field $k$ of characteristic $p$, let $W_K$ be its Weil group with valuation map $v$, and l…