Derived Hecke action at $p$ and the ordinary $p$-adic cohomology of arithmetic manifolds

Chandrashekhar Khare, Niccolò Ronchetti

We study the derived Hecke action at $p$ on the ordinary $p$-adic cohomology of arithmetic subgroups of semisimple groups $\mathrm{G}(\mathbb{Q})$, i.e., we study the derived version…