Niccolò Ronchetti

collaborators

3 papers

math.NT2020

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 $G (Q)$ , i.e., we study the derived version…

math.RT2018

A Satake homomorphism for the $mod p$ derived Hecke algebra

Niccolò Ronchetti

We explore the structure of the derived spherical Hecke algebra of a $p$ -adic group, a graded associative algebra whose degree $0$ subalgebra is the classical spherical Hecke algeb…

math.RT2018

On the cohomology of integral $p$ -adic unipotent radicals

Niccolò Ronchetti

Let $G / F$ be a reductive split $p$ -adic group and let $U$ be the unipotent radical of a Borel subgroup. We study the cohomology with trivial $Z_{p}$ -coeffic…

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

A Satake homomorphism for the modp derived Hecke algebra

On the cohomology of integral p-adic unipotent radicals

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

A Satake homomorphism for the $mod p$ derived Hecke algebra

On the cohomology of integral $p$ -adic unipotent radicals