C. Cornut

activity

20102026

collaborators

8 papers

math.AG2026

N{é}ron models of G\_m

Christophe Cornut

We construct ''N{é}ron models'' of Gm over any base scheme S.

math.GR2020

On triangles with a minuscule side

Christophe Cornut

Let $W \subset O (V)$ be the Weyl group of a root system $R \subset V$ . If $a + b + c = 0 = a^{'} + b^{'} + c^{'}$ with $a$ , $b$ and $c$ respectively conjugated to $a^{'}$ , $b^{'}$ and $c^{'}$ in V , then $(a,b,c)…

math.AG2018

Harder-Narasimhan filtrations for Breuil-Kisin-Fargues modules

Christophe Cornut, Macarena Peche Irissarry

We define and study Harder-Narasimhan filtrations on Breuil-Kisin-Fargues modules and related objects relevant to p-adic Hodge theory.

math.NT2017

On Harder-Narasimhan filtrations and their compatibility with tensor products

Christophe Cornut

We attach buildings to modular lattices and use them to develop a metric approach to Harder-Narasimhan filtrations. Switching back to a categorical framework, we establish an abstr…

math.NT2016

Generators of the pro-p Iwahori and Galois representations

Christophe Cornut, Jishnu Ray

For an odd prime p, we determine a minimal set of topological generators of the pro-p Iwahori subgroup of a split reductive group G over Z\_p. In the simple adjoint case and for an…

math.NT2015

Mazur's inequality and laffaille's theorem

Christophe Cornut

We look at various questions related to filtrations in $p$ -adic Hodgetheory, using a blend of building and Tannakian tools. Specifically,Fontaine and Rapoport used a theorem of Laf…