Stefano Morra

activity

20122026

most citedOn mod p local-global compatibility for GL_3 in the ordinary case

20 citations · 50 across the 21 of their papers we have counts for

collaborators

22 papers

math.NT2026

To be or not to be local

Christophe Breuil, Florian Herzig, Yongquan Hu +4

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . For a smooth representation $π$ of $GL_{2} (K)$ occurring in some Hecke eigenspace of the m…

math.NT2025

On the constituents of the mod $p$ cohomology of Shimura curves

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . When $p$ is large enough with respect to $[K : Q_{p}]$ and under mild genericity assumptions…

math.NT2025

Finite length for unramified $GL_{2}$

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . If $p$ is large enough with respect to $[K : Q_{p}]$ and under mild genericity assumptions,…

math.RT2024

Generic decompositions of Deligne--Lusztig representations

Daniel Le, Bao V. Le Hung, Brandon Levin +1

Let $G_{0}$ be a reductive group over $F_{p}$ with simply connected derived subgroup, (geometrically) connected center and Coxeter number $h + 1$ . We extend Jantzen's generic de…

math.NT2024

$K_{1}$ -invariants in the mod $p$ cohomology of $U (3)$ arithmetic manifolds

Daniel Le, Bao Viet Le Hung, Stefano Morra

Let $F / F^{+}$ be a CM extension and $H_{/ F^{+}}$ a definite unitary group in three variables that splits over $F$ . We describe Hecke isotypic components of mod $p$ algebraic modular fo…

math.NT2023

Local model theory for non-generic tame potentially Barsotti--Tate deformation rings

Bao Viet Le Hung, Ariane Mézard, Stefano Morra

We develop a local model theory for moduli stacks of $2$ -dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extensio…

math.NT2023

Gelfand-Kirillov dimension for mod $p$ representations of $p$ -adic unitary groups of rank 2

Karol Koziol, Stefano Morra

Let $p$ be a prime number and $F / F^{+}$ a CM extension of a totally real field such that every place of $F^{+}$ above $p$ is unramified and inert in $F$ . We fix a finite place $v$ of $…

math.NT2023

Colength one deformation rings

Daniel Le, Bao Le Hung, Stefano Morra +2

Let $K / Q_{p}$ be a finite unramified extension, $ρ : Gal (Q_{p} / K) \to GL_{n} (F_{p})$ a continuous representa…

math.NT2022

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number, $K$ a finite unramified extension of $Q_{p}$ and $F$ a finite extension of $F_{p}$ . Using perfectoid spaces we associate to any fi…

math.NT2022

Extremal weights and a tameness criterion for mod $p$ Galois representations

Daniel Le, Bao Viet Le Hung, Brandon Levin +1

We study the weight part of Serre's conjecture for generic $n$ -dimensional mod $p$ Galois representations. We first generalize Herzig's conjecture to the case where the field is ra…

math.NT2022★ 1 cited

Serre weights for three-dimensional wildly ramified Galois representations

Daniel Le, Bao Viet Le Hung, Brandon Levin +1

We formulate and prove the weight part of Serre's conjecture for three-dimensional mod $p$ Galois representations under a genericity condition when the field is unramified at $p$ .…

math.NT2021★ 2 cited

Moduli of Fontaine--Laffaille representations and a mod- $p$ local-global compatibility result

Daniel Le, Bao Viet Le Hung, Stefano Morra +2

Let $F / F^{+}$ be a CM field and let $v$ be a finite unramified place of $F$ above the prime $p$ . Let $\overline{r}: \mathrm{Gal}(\overline{\mathbb{Q}}/F)\rightarrow \math…

math.NT2021★ 5 cited

Conjectures and results on modular representations of $GL_{n} (K)$ for a $p$ -adic field $K$

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite extension of $Q_{p}$ . We state conjectures on the smooth representations of $GL_{n} (K)$ that occur in spaces of mod $p$ aut…

math.NT2020★ 1 cited

Gelfand-Kirillov dimension and mod p cohomology for GL2

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number, $F$ a totally real number field unramified at places above $p$ and $D$ a quaternion algebra of center $F$ split at places above $p$ and at no more than o…

math.NT2020★ 1 cited

Local models for Galois deformation rings and applications

Daniel Le, Bao V. Le Hung, Brandon Levin +1

We construct projective varieties in mixed characteristic whose singularities model, in generic cases, those of tamely potentially crystalline Galois deformation rings for unramifi…

math.NT2018★ 3 cited

Serre weight conjectures for $p$ -adic unitary groups of rank 2

Karol Koziol, Stefano Morra

We prove a version of the weight part of Serre's conjecture for mod $p$ Galois representations attached to automorphic forms on rank 2 unitary groups which are non-split at $p$ . Mo…

math.NT2016★ 11 cited

Multiplicity one at full congruence level

Daniel Le, Stefano Morra, Benjamin Schraen

Let $F$ be a totally real field in which $p$ is unramified. Let $r : G_{F} \to GL_{2} (F_{p})$ be a modular Galois representation which sati…

math.NT2016★ 3 cited

Serre weights and Breuil's lattice conjecture in dimension three

Daniel Le, Bao V. Le Hung, Brandon Levin +1

We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U (3)$ -arithmetic manifold is purely local, i.e., only depends on the Galois…

math.NT2016★ 20 cited

On mod p local-global compatibility for GL_3 in the ordinary case

Florian Herzig, Daniel Le, Stefano Morra

Suppose that F/F+ is a CM extension of number fields in which the prime p splits completely and every other prime is unramified. Fix a place w|p of F. Suppose that rbar : Gal(F-bar…

math.NT2015★ 2 cited

Potentially crystalline deformation rings and Serre weight conjectures

Daniel Le, Bao V. Le Hung, Brandon Levin +1

We prove the weight part of Serre's conjecture in generic situations for forms of $U (3)$ which are compact at infinity and split at places dividing $p$ as conjectured by Herzig. We…

math.NT2015

Potentially crystalline deformation rings in the ordinary case

Brandon Levin, Stefano Morra

We study potentially crystalline deformation rings for a residual, ordinary Galois representation $ρ : G_{Q_{p}} \to GL_{3} (F_{p})$ . We consider…

math.RT2012★ 1 cited

Structure interne des representations modulo p de SL(2,Q_{p})

Ramla Abdellatif, Stefano Morra

Let p be an odd prime number. Using some previous work of the two authors, we determine the socle filtration of all irreducible smooth mod p representations of SL(2,Q_{p}).

To be or not to be local

On the constituents of the mod p cohomology of Shimura curves

Finite length for unramified GL2​

Generic decompositions of Deligne--Lusztig representations

K1​-invariants in the mod p cohomology of U(3) arithmetic manifolds

Local model theory for non-generic tame potentially Barsotti--Tate deformation rings

Gelfand-Kirillov dimension for mod p representations of p-adic unitary groups of rank 2

Colength one deformation rings

Multivariable (φ,OK×​)-modules and local-global compatibility

Extremal weights and a tameness criterion for mod p Galois representations

Serre weights for three-dimensional wildly ramified Galois representations

Moduli of Fontaine--Laffaille representations and a mod-p local-global compatibility result

Conjectures and results on modular representations of GLn​(K) for a p-adic field K

Gelfand-Kirillov dimension and mod p cohomology for GL2

Local models for Galois deformation rings and applications

Serre weight conjectures for p-adic unitary groups of rank 2

Multiplicity one at full congruence level

Serre weights and Breuil's lattice conjecture in dimension three

On mod p local-global compatibility for GL_3 in the ordinary case

Potentially crystalline deformation rings and Serre weight conjectures

Potentially crystalline deformation rings in the ordinary case

Structure interne des representations modulo p de SL(2,Q_{p})

On the constituents of the mod $p$ cohomology of Shimura curves

Finite length for unramified $GL_{2}$

$K_{1}$ -invariants in the mod $p$ cohomology of $U (3)$ arithmetic manifolds

Gelfand-Kirillov dimension for mod $p$ representations of $p$ -adic unitary groups of rank 2

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Extremal weights and a tameness criterion for mod $p$ Galois representations

Moduli of Fontaine--Laffaille representations and a mod- $p$ local-global compatibility result

Conjectures and results on modular representations of $GL_{n} (K)$ for a $p$ -adic field $K$

Serre weight conjectures for $p$ -adic unitary groups of rank 2