Gianmarco Chinello

activity

20162024

collaborators

4 papers

math.GR2024

The Hattori-Stallings rank, the Euler-Poincaré characteristic and zeta functions of totally disconnected locally compact groups

Ilaria Castellano, Gianmarco Chinello, Thomas Weigel

For a unimodular totally disconnected locally compact group $G$ we introduce and study an analogue of the Hattori-Stallings rank $ρ ~ (P) \in h_{G}$ for a finitely generate…

math.GR2020

Poincaré series of double coset representatives of Coxeter groups

Gianmarco Chinello

Let $(W, S)$ be a Coxeter system of finite rank and let $J, K \subset S$ . We study the rationality of the Poincaré series of the set of representatives of minimal length of $(W_J,W_K)…

math.RT2017

Blocks of the category of smooth $ℓ$ -modular representations of $G L (n, F)$ and its inner forms: reduction to level- $0$

Gianmarco Chinello

Let $G$ be an inner form of a general linear group over a non-archimedean locally compact field of residue characteristic $p$ , let $R$ be an algebraically closed field of character…

math.RT2016

Hecke algebra with respect to the pro- $p$ -radical of a maximal compact open subgroup for $G L (n, F)$ and its inner forms

Gianmarco Chinello

Let $G$ be a direct product of inner forms of general linear groups over non-archimedean locally compact fields of residue characteristic $p$ and let $K^{1}$ be the pro- $p$ -radical o…

The Hattori-Stallings rank, the Euler-Poincaré characteristic and zeta functions of totally disconnected locally compact groups

Poincaré series of double coset representatives of Coxeter groups

Blocks of the category of smooth ℓ-modular representations of GL(n,F) and its inner forms: reduction to level-0

Hecke algebra with respect to the pro-p-radical of a maximal compact open subgroup for GL(n,F) and its inner forms

Blocks of the category of smooth $ℓ$ -modular representations of $G L (n, F)$ and its inner forms: reduction to level- $0$

Hecke algebra with respect to the pro- $p$ -radical of a maximal compact open subgroup for $G L (n, F)$ and its inner forms