Andrea Dotto

collaborators

6 papers

math.NT2026

Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $GL_{2}$

Andrea Dotto, Bao V. Le Hung

Under standard assumptions, we compute the GK-dimension of Hecke eigenspaces in the mod $p$ cohomology of an inner form $D^{\times}$ of $GL_{2}$ over a totally real field unra…

math.NT2026

A categorical p-adic Langlands correspondence for GL_2(Q_p)

Andrea Dotto, Matthew Emerton, Toby Gee

Let p at least 5 be prime. We construct a fully faithful functor from the derived category of all smooth p-adic representations of GL_2(Q_p) (with a fixed central character) to a d…

math.NT2026

Localization of smooth p-power torsion representations of GL_2(Q_p)

Andrea Dotto, Matthew Emerton, Toby Gee

We show that the category of smooth representations of GL_2(Q_p) on p-power torsion modules localizes over a certain projective scheme, and give some applications.

math.NT2025

Cohomology of $p$ -adic Chevalley groups

Andrea Dotto, Bao V. Le Hung

Let $G$ be a split connected reductive group over the ring of integers of a finite unramified extension $K$ of $Q_{p}$ . Under a standard assumption on the Coxeter number of…

math.NT2025

Restriction of $p$ -adic representations of $GL_{2} (Q_{p})$ to parahoric subgroups

Andrea Dotto

Without using the $p$ -adic Langlands correspondence, we prove that for many finite length smooth representations of $GL_{2} (Q_{p})$ on $p$ -torsion modules the $\mathr…

math.NT2025

Andrea Dotto

We formulate an analogue of the Breuil-MÃ©zard conjecture for the group of units of a central division algebra over a $p$ -adic local field, and we prove that it follows from the co…

Gelfand--Kirillov dimension and mod p cohomology for inner forms of GL2​

A categorical p-adic Langlands correspondence for GL_2(Q_p)

Localization of smooth p-power torsion representations of GL_2(Q_p)

Cohomology of p-adic Chevalley groups

Restriction of p-adic representations of GL2​(Qp​) to parahoric subgroups

Breuil-MÃ©zard conjectures for central division algebras

Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $GL_{2}$

Cohomology of $p$ -adic Chevalley groups

Restriction of $p$ -adic representations of $GL_{2} (Q_{p})$ to parahoric subgroups