Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds
Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds
Abstract: We study the derived Hecke action at $p$ on the ordinary $p$-adic cohomology of arithmetic subgroups of reductive groups ${\rm G}(\Bbb{Q})$. This is the analog at $\ell=p$ of derived Hecke actions studied by Venkatesh in the tame case, and is the derived analog of Hida's theory for ordinary Hecke …